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Formula for Area of an Ellipse (and How to Use It) | Geometry, Ellipses, Ellipse Area Formula
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How do we find the area of an ellipse? What we need is a handy formula, and that is exactly what we have! In today's video we will go over the formula for the area of an ellipse, talk a bit about why it works, and go over an example!
The formula for area, A, of an ellipse is A = pi*a*b where a is the length of the semi-major axis (half the length of the major axis) and b is the length of the semi-minor axis (half the length of the minor axis).
At the end of the video, I present an example exercise. The area of an ellipse with major axis length 10 cm and minor axis length 5 cm is pi*(1/2)*(10 cm)*(1/2)*(5 cm) = pi*(5 cm)*(2.5 cm) = 12.5*pi cm^2. This is approximately 39 cm^2.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
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+WRATH OF MATH+
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The formula for area, A, of an ellipse is A = pi*a*b where a is the length of the semi-major axis (half the length of the major axis) and b is the length of the semi-minor axis (half the length of the minor axis).
At the end of the video, I present an example exercise. The area of an ellipse with major axis length 10 cm and minor axis length 5 cm is pi*(1/2)*(10 cm)*(1/2)*(5 cm) = pi*(5 cm)*(2.5 cm) = 12.5*pi cm^2. This is approximately 39 cm^2.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
********************************************************************
+WRATH OF MATH+
Follow Wrath of Math on...
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