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현재 위치

Area of a rectangle inscribed by an ellipse

작성자 Uploader : billy 작성일 Upload Date: 2019-10-28변경일 Update Date: 2020-02-19조회수 View : 282

Find the area of the rectangle that contains a point P on the ellipse and is parallel to the x and y axes, as shown.

The equation of the ellipse is.

x^2/a^2 + y^2/b^2 = 1

Where, ''a'' is the X coordinate to meet the X axis, and ''b'' is the Y coordinate to meet the Y axis. If the X coordinate is known, the Y coordinate can be obtained.

y = (1-x^2/a^2)^(1/2)*b

Therefore, the area of the inscribed rectangle is as follows.

A = 4*x*y = 4*x*(1-x^2/a^2)^(1/2)*b

*** 참고문헌[References] ***

A = 4*x*(1-x^2/a^2)^(1/2)*b


변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

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현재 위치

Area of a rectangle inscribed by an ellipse

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