Traditional Culture Encyclopedia - Photography major - Do circles and ellipses with the same circumference also have the same area? Why?
Do circles and ellipses with the same circumference also have the same area? Why?
In high school, I remember learning the area photography theorem
The projection of an ellipse is a circle
Consider a cylinder and then cut it diagonally by a plane Now
The upper surface is an ellipse, and the lower surface (that is, the projection of the upper surface) is a circle
The radius of the circle is the minor axis of the ellipse b
cosA= b/a (Known by drawing)
According to the area projection theorem
S (ellipse) = S (circle)/cosA = PI*ab
The circle The area is directly the square of PAI*R
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