Correct Answer - Option 1 : 2464 cm
2
Given:
Area of the circle = Area of the rectangle
Length of the rectangle = 44 cm
Breadth of the rectangle = 56 cm
Formula Used:
Area of the rectangle = l × b
Area of the circle = πr2
Where, l = Length of the rectangle,
b = Breadth of the rectangle,
r = Radius of the circle,
π = 22/7
Calculation:
Let the radius of the circle(r) be x cm.
According to the question,
πr2 = l × b
⇒ (22/7) × x2 = 44 × 56
⇒ x2 = (44 × 56 × 7)/22
⇒ x2 = 784
⇒ x = 28
Hence, r = 28 cm
Area of the circle = πr2
⇒ (22/7) × 28 × 28
⇒ 22 × 4 × 28
⇒ 2464 cm2
∴ The area of the circle will be 2464 cm2.