Chapter 7.3, Problem 44STP

To determine

To check: which of the polynomial represents the area of the shaded region.

Answer to Problem 44STP

I. $\pi r^2-r^2$ .

Explanation of Solution

Given:

In the given figure below, $EB\parallel DC$ .

  

The given options are:

  F. $\pi r^2$    H. $\pi r^2+r$

  G. $\pi r^2+r^2$  I. $\pi r^2-r^2$

Calculation:

According to the question,

Area of the shaded region, is the area of a circle minus the area of the triangle inside.

  $\begin{array}{l}A=\pi r^2-\frac{1}{2}2r\left(r\right)\\ A=\pi r^2-r^2\end{array}$

Hence, the I is the correct option.