Find the Largest Rectangle That Can Be Inscribed in an Ellipse

Area of Largest rectangle that tin can be inscribed in an Ellipse?

Eclipse Server Side Programming Programming

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Hither we will meet the area of largest rectangle that tin can exist inscribed in an ellipse. The rectangle in ellipse will be like below −

The a and b are the half of major and modest centrality of the ellipse. The upper right corner of the rectangle is (ten, y). So the area is

Now, afterwards making this equation as f(x) and maximizing the area, we will get the area as

Example

#include <iostream> #include <cmath> using namespace std; float area(bladder a, float b) {    if (a < 0 || b < 0 ) //if the valuse are negative it is invalid       return -1;    float area = 2*a*b;    return expanse; } int primary() {    float a = ten, b = eight;    cout << "Area : " << area(a, b); }

Output

Area : 160

Arnab Chakraborty

Published on 20-Aug-2019 12:33:28

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