Question

The area of a rectangle is equal to area of circle whose radius is 14 cm. If the breadth of rectangle is22 cm. What is the length?

Answer 1

Solution :-

Given : The area of a rectangle is equal to area of circle whose radius is 14 cm.

The breadth of rectangle is 22 cm.

Let the length of the rectangle be x cm.

According to the question,

Area of rectangle = Area of circle

=> (Length × Breadth) = πr²

=> x × 22 = 22/7 × (14)²

=> x = (22 × 196)/(22 × 7) = 28

Hence,

Length of the rectangle = 28 cm

Answer 2

Radius of Circle=14 cm

Area of A Circle=πr²

$\pi = \frac{22}{7} \\ \\ \frac{22}{7} \times {14}^{2} \\ \\ \frac{22}{7} \times 14 \times 14 \\ \\ 22 \times 2 \times 14 \\ \\ = 44 \times 12 \\ \\ 616$

Area of Circle=616 cm²

Area of Circle=Area of Rectangle (given)

Breadth of Rectangle=22 cm

Let Length=l cm

Area of Rectangle=length×breadth

l×22=616

l=616/22

l=28

$\underline{\mathtt{Length=28 \:cm}}$