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A square ABCD is inscribed in a circle o...

A square ABCD is inscribed in a circle of radius `r`. Find the area of the square.

Text Solution

Verified by Experts

The correct Answer is:
`(2r^(2)`sq units

Let `O` be the centre of the given circle and let ABCD be the square inscribed in it.
So, diag. `AC=2r`
ar(squareABCD)`=1/2xx("diagonal")^(2)={1/2xx(2r)^(2)}` sq units `=(2r^(2))` sq units
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