The area of a rectangle is equal to the area of circle whole radi
| The area of a rectangle is equal to the area of circle whole 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
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
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 × B
Area of Circle = πr2
CALCULATION:
Let the length of the rectangle be x cm.
According to the question,
⇒ 33 × x = π × 212
⇒ 33x = 441 × 22/7
⇒ 33x = 1386
⇒ x = 42
∴ Length of the rectangle = 42 cm