Question

The area of the quadrant of a circle whose circumference is 22 cm, will be;
1. 3.5 cm²
2. 38.5 cm²
3. 10 cm²
4. 9.625 cm²

Answer 1

Correct Answer - Option 4 : 9.625 cm²

Given:

Circumference of the circle = 22 cm

Formula used:

Circumference = 2πr

Area of a circle = πr²

Area of the quadrant = (πr2 × 1/4)

r = Radius of the circle

Calculation:

2πr = 22

⇒ πr = 11

⇒ 22/7 × r = 11

⇒ r = 3.5

Area of the circle = πr²

⇒ 22/7 × 7/2 × 7/2

⇒ 154/4

⇒ Area of the quadrant = 154/4 × 1/4

⇒ 154/16

⇒ 9.625

⇒ Area of the quadrant = 9.625 cm²

∴ Area of the quadrant is 9.625 cm²