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2026-01-01
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<p>Last updated on<strong>August 30, 2025</strong></p>
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<p>Last updated on<strong>August 30, 2025</strong></p>
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<p>An ellipse is a two-dimensional shape that resembles a stretched circle. The surface area of an ellipse, more commonly referred to as the area of an ellipse, is the total region enclosed by its boundary. In this article, we will learn about the area of an ellipse.</p>
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<p>An ellipse is a two-dimensional shape that resembles a stretched circle. The surface area of an ellipse, more commonly referred to as the area of an ellipse, is the total region enclosed by its boundary. In this article, we will learn about the area of an ellipse.</p>
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<h2>What is the Surface Area of an Ellipse?</h2>
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<h2>What is the Surface Area of an Ellipse?</h2>
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<p>The surface area<a>of</a>an ellipse is the total area enclosed by its boundary. It is measured in<a>square</a>units.</p>
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<p>The surface area<a>of</a>an ellipse is the total area enclosed by its boundary. It is measured in<a>square</a>units.</p>
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<p>An ellipse looks like a squashed circle and is characterized by two axes: the major axis and the<a>minor</a>axis.</p>
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<p>An ellipse looks like a squashed circle and is characterized by two axes: the major axis and the<a>minor</a>axis.</p>
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<p>The major axis is the longest diameter of the ellipse, while the minor axis is the shortest.</p>
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<p>The major axis is the longest diameter of the ellipse, while the minor axis is the shortest.</p>
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<p>The surface area of an ellipse can be calculated using a specific<a>formula</a>that takes into account both axes.</p>
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<p>The surface area of an ellipse can be calculated using a specific<a>formula</a>that takes into account both axes.</p>
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<h2>Area of an Ellipse Formula</h2>
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<h2>Area of an Ellipse Formula</h2>
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<p>An ellipse has a specific formula to calculate its surface area based on its axes.</p>
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<p>An ellipse has a specific formula to calculate its surface area based on its axes.</p>
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<p>Consider an ellipse with a major axis (2a) and a minor axis (2b).</p>
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<p>Consider an ellipse with a major axis (2a) and a minor axis (2b).</p>
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<p>The formula for calculating the area of an ellipse is given by: Area = πab square units</p>
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<p>The formula for calculating the area of an ellipse is given by: Area = πab square units</p>
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<p>Where a is the semi-major axis (half of the major axis) and b is the semi-minor axis (half of the minor axis).</p>
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<p>Where a is the semi-major axis (half of the major axis) and b is the semi-minor axis (half of the minor axis).</p>
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<h2>Calculation of Ellipse Area</h2>
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<h2>Calculation of Ellipse Area</h2>
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<p>The area of an ellipse is determined by its semi-major and semi-minor axes.</p>
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<p>The area of an ellipse is determined by its semi-major and semi-minor axes.</p>
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<p>The formula for the area of an ellipse is:</p>
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<p>The formula for the area of an ellipse is:</p>
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<p>Area = πab Here, a is the semi-major axis, and b is the semi-minor axis.</p>
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<p>Area = πab Here, a is the semi-major axis, and b is the semi-minor axis.</p>
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<p>This formula shows how the<a>product</a>of the semi-axes and π gives the total area enclosed by the ellipse.</p>
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<p>This formula shows how the<a>product</a>of the semi-axes and π gives the total area enclosed by the ellipse.</p>
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<h2>Visualizing the Area of an Ellipse</h2>
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<h2>Visualizing the Area of an Ellipse</h2>
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<p>To visualize the area of an ellipse, imagine a circle that has been stretched along one of its diameters.</p>
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<p>To visualize the area of an ellipse, imagine a circle that has been stretched along one of its diameters.</p>
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<p>The area is not just a simple<a>multiplication</a>of the axes, but rather a more complex shape requiring the use of π.</p>
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<p>The area is not just a simple<a>multiplication</a>of the axes, but rather a more complex shape requiring the use of π.</p>
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<p>The formula: Area = πab helps in understanding that the ellipse's area is influenced by both axes, with π adjusting the area to account for the elliptical shape.</p>
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<p>The formula: Area = πab helps in understanding that the ellipse's area is influenced by both axes, with π adjusting the area to account for the elliptical shape.</p>
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<h2>Volume of a 3D Elliptical Cylinder</h2>
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<h2>Volume of a 3D Elliptical Cylinder</h2>
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<p>The volume of a 3D shape with an elliptical<a>base</a>, like an elliptical cylinder, can be calculated using the area of the ellipse as the base area and multiplying by the height of the cylinder.</p>
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<p>The volume of a 3D shape with an elliptical<a>base</a>, like an elliptical cylinder, can be calculated using the area of the ellipse as the base area and multiplying by the height of the cylinder.</p>
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<p>The volume formula is: Volume = πabh (cubic units) where a is the semi-major axis, b is the semi-minor axis, and h is the height of the cylinder.</p>
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<p>The volume formula is: Volume = πabh (cubic units) where a is the semi-major axis, b is the semi-minor axis, and h is the height of the cylinder.</p>
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<h2>Confusion between Major and Minor Axes</h2>
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<h2>Confusion between Major and Minor Axes</h2>
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<p>Students may confuse the major and minor axes, leading to incorrect calculations.</p>
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<p>Students may confuse the major and minor axes, leading to incorrect calculations.</p>
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<p>Remember that the major axis is the longest diameter, and the minor axis is the shortest.</p>
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<p>Remember that the major axis is the longest diameter, and the minor axis is the shortest.</p>
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<p>Always use half of these lengths (semi-major and semi-minor) in the formula.</p>
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<p>Always use half of these lengths (semi-major and semi-minor) in the formula.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given a = 4 cm, b = 3 cm. Use the formula: Area = πab = 3.14 × 4 × 3 = 37.68 cm²</p>
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<p>Given a = 4 cm, b = 3 cm. Use the formula: Area = πab = 3.14 × 4 × 3 = 37.68 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Calculate the area of an ellipse with a semi-major axis of 5 cm and a semi-minor axis of 2 cm.</p>
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<p>Calculate the area of an ellipse with a semi-major axis of 5 cm and a semi-minor axis of 2 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area = 31.4 cm²</p>
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<p>Area = 31.4 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>Use the formula: Area = πab = 3.14 × 5 × 2 = 31.4 cm²</p>
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<p>Use the formula: Area = πab = 3.14 × 5 × 2 = 31.4 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>An ellipse has a semi-major axis of 6 cm and a semi-minor axis of 4 cm. Find the area.</p>
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<p>An ellipse has a semi-major axis of 6 cm and a semi-minor axis of 4 cm. Find the area.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area = 75.36 cm²</p>
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<p>Area = 75.36 cm²</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>Use the formula: Area = πab = 3.14 × 6 × 4 = 75.36 cm²</p>
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<p>Use the formula: Area = πab = 3.14 × 6 × 4 = 75.36 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Find the area of an ellipse with a semi-major axis of 7 cm and a semi-minor axis of 3.5 cm.</p>
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<p>Find the area of an ellipse with a semi-major axis of 7 cm and a semi-minor axis of 3.5 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area = 76.93 cm²</p>
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<p>Area = 76.93 cm²</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>Area = πab = 3.14 × 7 × 3.5 = 76.93 cm²</p>
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<p>Area = πab = 3.14 × 7 × 3.5 = 76.93 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The area of an ellipse is 125.6 cm², and its semi-major axis is 8 cm. Find the semi-minor axis.</p>
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<p>The area of an ellipse is 125.6 cm², and its semi-major axis is 8 cm. Find the semi-minor axis.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Semi-minor axis = 5 cm</p>
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<p>Semi-minor axis = 5 cm</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>It is the total area enclosed by the boundary of the ellipse, calculated using its semi-major and semi-minor axes.</h2>
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<h2>It is the total area enclosed by the boundary of the ellipse, calculated using its semi-major and semi-minor axes.</h2>
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<h3>1.What are the axes in an ellipse?</h3>
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<h3>1.What are the axes in an ellipse?</h3>
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<p>The axes in an ellipse are the major axis (longest diameter) and the minor axis (shortest diameter). The semi-major and semi-minor axes are half of these lengths.</p>
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<p>The axes in an ellipse are the major axis (longest diameter) and the minor axis (shortest diameter). The semi-major and semi-minor axes are half of these lengths.</p>
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<h3>2.How is the area of an ellipse calculated?</h3>
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<h3>2.How is the area of an ellipse calculated?</h3>
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<p>The area is calculated using the formula: Area = πab, where a is the semi-major axis and b is the semi-minor axis.</p>
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<p>The area is calculated using the formula: Area = πab, where a is the semi-major axis and b is the semi-minor axis.</p>
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<h3>3.Is an ellipse the same as a circle?</h3>
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<h3>3.Is an ellipse the same as a circle?</h3>
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<p>No, an ellipse is a stretched circle and requires a different formula for area: Area = πab. A circle is a special case of an ellipse where a = b.</p>
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<p>No, an ellipse is a stretched circle and requires a different formula for area: Area = πab. A circle is a special case of an ellipse where a = b.</p>
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<h3>4.What unit is surface area measured in?</h3>
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<h3>4.What unit is surface area measured in?</h3>
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<p>Surface area is always measured in square units like cm², m², or in².</p>
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<p>Surface area is always measured in square units like cm², m², or in².</p>
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<h2>Common Mistakes and How to Avoid Them in Calculating the Area of an Ellipse</h2>
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<h2>Common Mistakes and How to Avoid Them in Calculating the Area of an Ellipse</h2>
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<p>Students often make mistakes while calculating the area of an ellipse, leading to incorrect answers. Below are some common mistakes and ways to avoid them.</p>
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<p>Students often make mistakes while calculating the area of an ellipse, leading to incorrect answers. Below are some common mistakes and ways to avoid them.</p>
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<p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</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>