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The perimeter of the quadrant of a circl...

The perimeter of the quadrant of a circle is 25 cm. Find the area.

Text Solution

Verified by Experts

The correct Answer is:
`38.5cm^(2)`
Perimeter of the quadrant `=(2r+(2pir+90)/360)cm=(25r)/7cm`
`:.(25r)/7=25impliesr=7`.
Area of the quadrant `=1/4pir^(2)=(1/4xx22/7xx7xx7)cm^(2)=77/2cm^(2)=38.5cm^(2)`
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