Question

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

Options

• `11/8  "cm"^2`

• `77/2  "cm"^2`

• `77/4  "cm"^2`

• `77/8  "cm"^2`

Answer 1

The area of a quadrant of a circle whose circumference is 22 cm, is `underline(77/8  "cm"^2)`.

Explanation:

Here `2 pi "r" = 22  "cm"`

`2 xx 22/7 xx "r" = 22`

`=> "r" = 22 xx 7/22 xx 1/2 = 7/2  "cm"`

`therefore  "Area of quadrant of circle" = 1/4 pi "r"^2`

`= 1/4 xx 22/7 xx 7/2 xx 7/2`

`= 77/8  "cm"^2`