Question

The area of a circle whose circumference is 22 cm, is ____________.

Options

• 11 cm²

• 38.5 cm²

• 22 cm²

• 77 cm²

Answer 1

The area of a circle whose circumference is 22 cm, is 38.5 cm².

Explanation:

Circumference of circle = 22 cm,

2 `pi`r = 22 cm

`=> 2 (22/7) "r" = 22`

`=> "r" = (22 xx 7)/(2 xx 22) = 7/2  "cm"`

`therefore "Area of circle" = pi "r"^2`

`= 22/7 xx 7/2 xx 7/2`

`= 77/2`

`= 38.5  "cm"`