Question

Area of a circle inscribed in a right angled triangle

Answer 1

Step-by-step explanation:

Given the P, B and H are the perpendicular, base and hypotenuse respectively of a right angled triangle. The task is to find the area of the incircle of radius r as shown below:

Approach: Formula for calculating the inradius of a right angled triangle can be given as r = ( P + B – H ) / 2.

And we know that the area of a circle is PI * r2 where PI = 22 / 7 and r is the radius of the circle.

Hence the area of the incircle will be PI * ((P + B – H) / 2)2.