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2026-01-01
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<p>Last updated on<strong>September 17, 2025</strong></p>
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<p>Last updated on<strong>September 17, 2025</strong></p>
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<p>Area is the space inside the boundaries of a two-dimensional shape or surface. There are different formulas for finding the area of various shapes/figures. These are widely used in architecture and design. In this section, we will find the area of the disc.</p>
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<p>Area is the space inside the boundaries of a two-dimensional shape or surface. There are different formulas for finding the area of various shapes/figures. These are widely used in architecture and design. In this section, we will find the area of the disc.</p>
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<h2>What is the Area of Disc?</h2>
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<h2>What is the Area of Disc?</h2>
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<p>A disc is a circular two-dimensional shape where every point on the boundary is equidistant from the center. The area of the disc is the total space it encloses within its boundary.</p>
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<p>A disc is a circular two-dimensional shape where every point on the boundary is equidistant from the center. The area of the disc is the total space it encloses within its boundary.</p>
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<p>The defining characteristic of a disc is its radius, which is the distance from the center to any point on the boundary.</p>
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<p>The defining characteristic of a disc is its radius, which is the distance from the center to any point on the boundary.</p>
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<h2>Area of the Disc Formula</h2>
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<h2>Area of the Disc Formula</h2>
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<p>To find the area of the disc, we use the<a>formula</a>: πr², where r is the radius of the disc. This formula is derived from the geometric properties of a circle, where π (pi) is a<a>constant</a>approximately equal to 3.14159.</p>
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<p>To find the area of the disc, we use the<a>formula</a>: πr², where r is the radius of the disc. This formula is derived from the geometric properties of a circle, where π (pi) is a<a>constant</a>approximately equal to 3.14159.</p>
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<p>Derivation of the formula: The formula for the area of the disc is derived from integrating the infinitesimal circular rings that make up the disc. Each ring has an infinitesimal width dr and a circumference 2πr. Integrating these rings from the center (r=0) to the boundary (r=R) gives: Area = ∫ (2πr dr) from 0 to R = πr² Therefore, the area of the disc = πr²</p>
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<p>Derivation of the formula: The formula for the area of the disc is derived from integrating the infinitesimal circular rings that make up the disc. Each ring has an infinitesimal width dr and a circumference 2πr. Integrating these rings from the center (r=0) to the boundary (r=R) gives: Area = ∫ (2πr dr) from 0 to R = πr² Therefore, the area of the disc = πr²</p>
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<h2>How to Find the Area of Disc?</h2>
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<h2>How to Find the Area of Disc?</h2>
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<p>We can find the area of the disc using a straightforward method by applying the formula with the given radius. Here’s how: Method Using the Radius If the radius r is given, we find the area of the disc using the formula Area = πr²</p>
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<p>We can find the area of the disc using a straightforward method by applying the formula with the given radius. Here’s how: Method Using the Radius If the radius r is given, we find the area of the disc using the formula Area = πr²</p>
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<p>For example, if the radius of a disc is 7 cm, what will be the area of the disc? Area = π × 7² = π × 49 ≈ 153.94 cm² The area of the disc is approximately 153.94 cm²</p>
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<p>For example, if the radius of a disc is 7 cm, what will be the area of the disc? Area = π × 7² = π × 49 ≈ 153.94 cm² The area of the disc is approximately 153.94 cm²</p>
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<h2>Unit of Area of Disc</h2>
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<h2>Unit of Area of Disc</h2>
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<p>We measure the area of a disc in<a>square</a>units. The<a>measurement</a>depends on the system used:</p>
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<p>We measure the area of a disc in<a>square</a>units. The<a>measurement</a>depends on the system used:</p>
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<p>In the metric system, the area is measured in square meters (m²), square centimeters (cm²), and square millimeters (mm²).</p>
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<p>In the metric system, the area is measured in square meters (m²), square centimeters (cm²), and square millimeters (mm²).</p>
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<p>In the imperial system, the area is measured in square inches (in²), square feet (ft²), and square yards (yd²).</p>
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<p>In the imperial system, the area is measured in square inches (in²), square feet (ft²), and square yards (yd²).</p>
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<h2>Special Cases or Variations for the Area of Disc</h2>
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<h2>Special Cases or Variations for the Area of Disc</h2>
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<p>Since a disc is a circular shape, its area is calculated using its radius. However, there are variations depending on the given<a>data</a>:</p>
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<p>Since a disc is a circular shape, its area is calculated using its radius. However, there are variations depending on the given<a>data</a>:</p>
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<p><strong>Case 1:</strong>Given the Diameter If the diameter is given, the radius r is half the diameter, and the area is found using Area = πr².</p>
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<p><strong>Case 1:</strong>Given the Diameter If the diameter is given, the radius r is half the diameter, and the area is found using Area = πr².</p>
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<p><strong>Case 2:</strong>Given the Circumference If the circumference is given as C, the radius can be found using r = C/(2π) and then the area using Area = πr².</p>
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<p><strong>Case 2:</strong>Given the Circumference If the circumference is given as C, the radius can be found using r = C/(2π) and then the area using Area = πr².</p>
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<h2>Tips and Tricks for Area of Disc</h2>
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<h2>Tips and Tricks for Area of Disc</h2>
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<p>To ensure accurate results while calculating the area of the disc, consider these tips and tricks:</p>
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<p>To ensure accurate results while calculating the area of the disc, consider these tips and tricks:</p>
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<ul><li>Always verify the radius; if the diameter is given, divide it by 2 to get the radius. </li>
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<ul><li>Always verify the radius; if the diameter is given, divide it by 2 to get the radius. </li>
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<li>Use the value of π according to the precision required: 3.14 for rough estimates or 3.14159 for more precision. </li>
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<li>Use the value of π according to the precision required: 3.14 for rough estimates or 3.14159 for more precision. </li>
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<li>Ensure all measurements are in the same units when calculating area.</li>
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<li>Ensure all measurements are in the same units when calculating area.</li>
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</ul><h2>Common Mistakes and How to Avoid Them in Area of Disc</h2>
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</ul><h2>Common Mistakes and How to Avoid Them in Area of Disc</h2>
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<p>It is common for kids to make mistakes while finding the area of the disc. Let’s take a look at some mistakes made by kids.</p>
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<p>It is common for kids to make mistakes while finding the area of the disc. Let’s take a look at some mistakes made by kids.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>A pizza has a radius of 15 cm. What will be the area?</p>
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<p>A pizza has a radius of 15 cm. What will be the area?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We will find the area as approximately 706.86 cm².</p>
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<p>We will find the area as approximately 706.86 cm².</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Here, the radius r is 15 cm.</p>
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<p>Here, the radius r is 15 cm.</p>
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<p>The area of the disc = πr² = π × 15² = π × 225 ≈ 706.86 cm².</p>
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<p>The area of the disc = πr² = π × 15² = π × 225 ≈ 706.86 cm².</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>What will be the area of a circular garden if the diameter is given as 10 m?</p>
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<p>What will be the area of a circular garden if the diameter is given as 10 m?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We will find the area as approximately 78.54 m².</p>
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<p>We will find the area as approximately 78.54 m².</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>If the diameter is given, the radius r = diameter/2 = 10/2 = 5 m.</p>
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<p>If the diameter is given, the radius r = diameter/2 = 10/2 = 5 m.</p>
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<p>The area will be π × 5² ≈ 78.54 m².</p>
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<p>The area will be π × 5² ≈ 78.54 m².</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>The area of a circular field is 314 m². Find the length of the radius.</p>
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<p>The area of a circular field is 314 m². Find the length of the radius.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We find the radius as approximately 10 m.</p>
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<p>We find the radius as approximately 10 m.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the radius, use the formula area = πr².</p>
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<p>To find the radius, use the formula area = πr².</p>
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<p>Given area = 314 m², solve 314 = πr² for r: 314/π = r² r ≈ √(314/π) ≈ 10 m.</p>
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<p>Given area = 314 m², solve 314 = πr² for r: 314/π = r² r ≈ √(314/π) ≈ 10 m.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Find the area of a circular lake if its circumference is 31.4 m.</p>
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<p>Find the area of a circular lake if its circumference is 31.4 m.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We will find the area as approximately 78.54 m².</p>
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<p>We will find the area as approximately 78.54 m².</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The circumference C = 2πr.</p>
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<p>The circumference C = 2πr.</p>
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<p>Given C = 31.4 m, we find the radius: r = 31.4/(2π) ≈ 5 m.</p>
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<p>Given C = 31.4 m, we find the radius: r = 31.4/(2π) ≈ 5 m.</p>
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<p>Area = πr² = π × 5² ≈ 78.54 m².</p>
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<p>Area = πr² = π × 5² ≈ 78.54 m².</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Help Lisa calculate the area of a circular table top if the radius is 0.6 m.</p>
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<p>Help Lisa calculate the area of a circular table top if the radius is 0.6 m.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We will find the area as approximately 1.13 m².</p>
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<p>We will find the area as approximately 1.13 m².</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The radius is 0.6 m.</p>
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<p>The radius is 0.6 m.</p>
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<p>Thus, the area = π × 0.6² ≈ 1.13 m².</p>
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<p>Thus, the area = π × 0.6² ≈ 1.13 m².</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Area of Disc</h2>
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<h2>FAQs on Area of Disc</h2>
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<h3>1.Is it possible for the area of the disc to be negative?</h3>
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<h3>1.Is it possible for the area of the disc to be negative?</h3>
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<p>No, the area of the disc can never be negative. The area of any shape will always be positive.</p>
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<p>No, the area of the disc can never be negative. The area of any shape will always be positive.</p>
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<h3>2.How to find the area of a disc if the diameter is given?</h3>
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<h3>2.How to find the area of a disc if the diameter is given?</h3>
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<p>If the diameter is given, find the radius by dividing it by 2, and then use the formula Area = πr².</p>
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<p>If the diameter is given, find the radius by dividing it by 2, and then use the formula Area = πr².</p>
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<h3>3.How to find the area of a disc if only the circumference is given?</h3>
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<h3>3.How to find the area of a disc if only the circumference is given?</h3>
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<p>If the circumference is given, find the radius using r = C/(2π) and then use the formula Area = πr².</p>
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<p>If the circumference is given, find the radius using r = C/(2π) and then use the formula Area = πr².</p>
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<h3>4.How is the circumference of the disc calculated?</h3>
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<h3>4.How is the circumference of the disc calculated?</h3>
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<p>The circumference of the disc is calculated using the formula C = 2πr, where r is the radius.</p>
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<p>The circumference of the disc is calculated using the formula C = 2πr, where r is the radius.</p>
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<h3>5.What is meant by the area of the disc?</h3>
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<h3>5.What is meant by the area of the disc?</h3>
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<p>The area of the disc is the total space occupied by the disc.</p>
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<p>The area of the disc is the total space occupied by the disc.</p>
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<h2>Seyed Ali Fathima S</h2>
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<h2>Seyed Ali Fathima S</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She has songs for each table which helps her to remember the tables</p>
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<p>: She has songs for each table which helps her to remember the tables</p>