Chapter E, Problem 11.2EX

To determine

To find the area of the square inscribed in a circle.

Answer to Problem 11.2EX

Option (d)

Explanation of Solution

Given information: Square inscribed in a circle with radius 8 units.

Concept used:

Let $a$ be the side of the square, then

  $Area={(side)}^2$

The sides of square are equal in length and all the angles along the adjacent sides are right angles. Therefore, the area of the square is the area of the two equal right angles.

The square inscribed in a circle having diagonal equal to the diameter of the circle.

Using Pythagoras theorem,

  $\begin{array}{l}{a}^2+a^2={16}^2\\ a^2=128\end{array}$

Hence, the area of square is 128 square units.