Question

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

• A. $98$
• B. $89$
• C. $86$
• D. $96$

Answer 1

The correct option is A $98$

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

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

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

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