If in a triangle, the area is numerically equal to the perimeter, then the radius of the inscribed circle of the triangle is :

A. 1

B. 1.5

C. 2

D. 3

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Radius}} = \frac{{{\text{Area}}}}{{{\text{Semi - perimeter}}}} \cr & {\text{Radius}} = \left( {{\text{Area}} \times \frac{2}{{{\text{Area}}}}} \right) \cr & {\text{Radius}} = 2 \cr} $$