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In the given figure side of square ABCD ...

In the given figure side of square ABCD is 7 cm.
With centre D and radius DA, sector D-AXC is drawn. Fill in the following boxes properly and find out the area of the shaded region.

Text Solution

Verified by Experts

The correct Answer is:
Area of a square `=side^(2)`
`=7^(2)`
` = 49 cm^(2)`
Area of sector (D-AXC) `=theta/360xx pi r^(2)" "...["Formula"]`
`= 90/360xx22/7xx7xx7`
`= 38.5 cm^(2)`
`therefore` A (shaded redion) = Area of a square - Area of sector
`= 49 cm^(2) - 38.5 cm^(2)`
`= 10 . 5 cm^(2)`
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