When the hypotenuse (H) of a right triangle is given, use the formula πH2/4 to find the area of the circumcircle of the right triangle.
This formula is derived by exploiting the fact that the circumscribed circle touches all the angles of the triangle, in this case the hypothetical maximum length between two points passing through the center of the circle. This makes the hypotenuse the diameter of the circle.
This is why the area of a circle is πd2/4. (d = 2r) Replace d with H.
Hypotenuse = 8
Circle area = 50.26
Live demo
#include <stdio.h> int main(void) { int H = 14; float pie = 3.14; float area = (float)((pie*H*H)/4); printf("the area of circumcircle of a right angled triangle of Hypotenuse %d is %f",H,area); return 0; }
the area of circumcircle of a right angled triangle of Hypotenuse 14 is 153.860016
The above is the detailed content of What is the area of the circumcircle of a right triangle?. For more information, please follow other related articles on the PHP Chinese website!