Question

The area of a rectangle is equal to the area of a circle whose radius is 21 cm. If the breadth of the rectangle is 33 cm, what is its length?

• A. 37 cm
• B. 51 cm
• C. 31 cm
• D. 42 cm

Answer 1

Answer:

D. 42 cm

Given:

Radius of a circle = 21 cm

Breadth of a rectangle = 33 cm

Area of rectangle = Area of Circle 

Formula used:

Area of rectangle = $L\times{B}$

Area of Circle = $πr^2$

Calculation:

Let the length of the rectangle be x cm.

According to the question,

⇒ $33\times{x} = π × 21^2$

⇒ $33x = 441\times{\frac{22}{7}}$

⇒ 33x = 1386

⇒ x = 42

∴ Length of the rectangle = 42 cm