Question

The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?

• A. $24cm$
• B. $26cm$
• C. $52cm$
• D. Cannot be determined

Answer 1

Answer: (B)

Given that, circumference of the circle is equal to the area of a square of side $22cm$.

We know that, circumference of a circle is $2\pi r$

and area of a square is $side\times side$

$\therefore 2\pi r=side\times side$
$\Rightarrow 2\times \frac{22}{7}\times radius=22\times 22[\because \pi =\frac{22}{7}]$
$\Rightarrow$ radius $\left(r\right)=77cm$