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Find the area of the shaded region in th...

Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle.

Text Solution

Verified by Experts

The correct Answer is:
`30.57cm^(2)`
`AC^(2)=AB^(2)+BC^(2)=(8^(2)+6^(2))=(64+36)=100impliesAC=sqrt(100)=10cm`
`:.r=5cm`
Shaded area `={(22/7xx5xx5)-(8xx6)}cm^(2)=(550/7-48)cm^(2)`
`=((550-336))/7cm^(2)=214/7cm^(2)`
`=30.57cm^(2)`
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