Question

The circumference of a circle is 22 cm. The area of its quadrant (in cm²) is

 

Options

• A.`77/2`

• B.`77/4`

• C.`77/8`

• D.`77/16`

Answer 1

Let the radius of the circle be r cm.

Given: Circumference of circle = 22 cm

`therefore 2pir=22cm`   `[therefore\text{Circumference of circle = 2pir}]`

`rArrr=22/(2pi)cm`

`rArrr=(22xx7)/(2xx22)cm`

`rArrr=7/2cm`

Area of quadrant of circle

`=1/4(\text{Area of circle})`

`=pi_4^1xxr^2`

`=1/4xx22/7xx7/2xx7/2cm^2`

`=77/2cm^2`

Hence, the correct answer is C.