Question

What is the radius of a circle of area $616{cm}^2$?

• A. $16cm$
• B. $12cm$
• C. $14cm$
• D. None of these

Answer 1

The correct option is C $14cm$

Area of circle $\pi r^2$

Given area of circle $=616c{m}^2$

$616c{m}^2=\frac{22}{7}{r}^2$

$616c{m}^2\left(\frac{7}{22}\right)=r^2$

$\frac{4312c{m}^2}{22}=r^2$

$r^2=196c{m}^2$

$r=\sqrt{196c{m}^2}$

$r=14cm$