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Is the area of the circle inscribed in a...

Is the area of the circle inscribed in a square of side a cm, `pia^(2) cm^(2)` ? Give reasons for your answer.

Text Solution

Verified by Experts

The correct Answer is:
False
Let ABCD be a square of side a.
`:.` Diameter of circle= Side of square = a
`:.` Radius of circle = `(a)/(2)`
`:.` Area of circle = `pi (Radius)^(2)= pi ((a)/(2))^(2) = (pia^(2))/(4)`
Hence, area of the circle is `(pia^(2))/(4) cm^(2)`
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