Question

Area of a rectangle and the area of a circle are equal. If the dimensions of 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 rectangle = $l\times b$
=14 cm $\times$ 11 cm
Area of a circle =$\pi r^2$
Area of rectangle = Area of a circle (given in question)
$\Rightarrow$14 cm $\times$ 11 cm = $\frac{22}{7}\times r^2$
$\Rightarrow$$49c{m}^2=r^2$
$\Rightarrow$ r =7 cm