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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`
Solution
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.
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