Question

A square is inscribed in a circle of radius $7$ cm. Find the area of the square.

• A. $49c{m}^2$
• B. $48c{m}^2$
• C. $98c{m}^2$
• D. $89c{m}^2$

Answer 1

The correct option is C $98c{m}^2$

$\sqrt{2}\times$ side of square $=2\times$ Radius of circle

$\sqrt{2}\times 5=2\times 7$

$5=\sqrt{2}\times 7$

Area $=(side{)}^2=5^2=(\sqrt{2}\times 7{)}^2=98cm$