The area of the triangle, $P Q R$ is $450$ ${in}^{2}$ and the perimeter of the incircle is $150$ in. Find the radius of the incircle of the triangle $P Q R$ .

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Solution

The correct option is B $3$ in
Radius of the incircle $=$ $\frac{A r e a o f t h e t r a i n g l e}{s e m i - p e r i m e t e r}$
radius $=$ $\frac{450}{150}$
radius $= 3$ in

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