Question

The area of a circle is $220{\text{cm}}^2$. The side of the square inscribed in this circle will be ?

• A. $\sqrt{140}\text{cm}$
• B. $\sqrt{210}\text{cm}$
• C. $\sqrt{70}\text{cm}$
• D. $\sqrt{35}\text{cm}$

Answer 1

The correct option is A $\sqrt{140}\text{cm}$

Area of circle $=$ $\pi r^2=\frac{22}{7}\times r^2=220$

$\Rightarrow r^2=70$ or $r=\sqrt{70}$

The diagonal of a square $=$ diameter of circle

$\text{side}\sqrt{2}=2r$

$\Rightarrow \text{side}\sqrt{2}=2\sqrt{70}$

$\Rightarrow \text{side}=\sqrt{140}cm$