Chapter 11.2, Problem 20WE

To determine

To Find: The area.

Answer to Problem 20WE

  $A=192sq.unit$

Explanation of Solution

Given: A rectangle with length $16$ inscribed in a circle with radius $10$ .

  

Let the width of the rectangle is $a$

Using Pythagorean Theorem

  $\begin{array}{l}$ {(20)}^2={16}^2+a^2$400-256=a^2\\ a=12\end{array}$

Thus the width is $a=12$ .

Now

Area of rectangle.

  $\begin{array}{l}A=lb\\ A=(16)(12)\\ A=192sq.unit\end{array}$

Hence, $A=192sq.unit$