Question

Area of a rectangle and the area of a circle are equal. If dimensions of the rectangle are $14cm\times 11cm$, then radius of the circle is :

• A. 21 cm
• B. 10.5 cm
• C. 14 cm
• D. 7 cm

Answer 1

The correct option is D

7 cm

Area of the rectangle $=14cm\times 11cm=154c{m}^2$

Now , Area of circle $=154c{m}^2=\frac{\pi }{r^2}$

$\therefore r^2=\frac{154}{\pi }=49$ (take $\pi as\frac{22}{7})$

$\Rightarrow r=7cm$