Question

the area of a circle is 220. find the area of a square whose vertices are on the circle.

Answer 1

if vertices are on square ,,the diameter of circle =diagonal of square
$2r = a \sqrt{2}$
r=radius of circle
a=edge of square
area of circle,,=220
$\pi {r}^{2} = 220 \\ {r}^{2} = 220 \div \pi.......(1)$
area of square
$= {a}^{2} \\ = (2r \div \sqrt{2) } {}^{2} \\ = 2 {r}^{2} \\ = 2(220 \div \pi)$
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