Ellipse Area Calculator
How to use this Ellipse Area Calculator 🤔
- Enter ✎ value for length of semi-minor axis (a).
- Enter ✎ value for length of semi-major axis (b).
- As soon as you enter the required input value(s), the Ellipse Area is calculated immediately, and displaed in the output section (present under input section).
Calculation
Once you enter the input values in the calculator, the output parameters are calculated.
Examples
The following examples cover how to calcualte the Area when length of semi-minor axis, and length of semi-major axis are given.
1. What is the Area of Ellipse whose length of semi-minor axis is 10 units, and length of semi-major axis is 20 units?
Answer
Given:
- length of semi-minor axis, a = 10 units
- length of semi-major axis, b = 20 units
The formula to find the Area of a Ellipse is:
A = \( π a b \)
Substitute given values in the above formula.
A = \( π \times10\times20\)
A = 628.32 square units
∴ Area, A = 628.32 square units
2. What is the Area of Ellipse whose length of semi-minor axis is 1 units, and length of semi-major axis is 0.5 units?
Answer
Given:
- length of semi-minor axis, a = 1 units
- length of semi-major axis, b = 0.5 units
The formula to find the Area of a Ellipse is:
A = \( π a b \)
Substitute given values in the above formula.
A = \( π \times1\times0.5\)
A = 1.57 square units
∴ Area, A = 1.57 square units
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"description": "The ellipse area calculator calculates the area of an ellipse by taking its length of semi-minor axis and length of semi-major axis as inputs.",
"explanation": "The area of an ellipse is defined as the area enclosed within in the boundary of the ellipse.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Area when length of semi-minor axis, and length of semi-major axis are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Area of Ellipse whose length of semi-minor axis is 10 units, and length of semi-major axis is 20 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of semi-minor axis, a = 10 units<li>length of semi-major axis, b = 20 units</ul><p>The formula to find the Area of a Ellipse is:</p><p class=\"tabspace\">A = \\( π a b \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( π \\times10\\times20\\)</p><p class=\"tabspace\">A = 628.32 square units</p><p class=\"tabspace answer\">∴ Area, A = 628.32 square units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Area of Ellipse whose length of semi-minor axis is 1 units, and length of semi-major axis is 0.5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of semi-minor axis, a = 1 units<li>length of semi-major axis, b = 0.5 units</ul><p>The formula to find the Area of a Ellipse is:</p><p class=\"tabspace\">A = \\( π a b \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( π \\times1\\times0.5\\)</p><p class=\"tabspace\">A = 1.57 square units</p><p class=\"tabspace answer\">∴ Area, A = 1.57 square units</p></div>",
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