Chapter 11.8, Problem 22PPS

To determine

To compute the area of shaded sector of the circle.

Answer to Problem 22PPS

  $2.1$ squarefeet.

Explanation of Solution

Given information: Radius $=1$ feet.

Formula used: Area of sector of circle $a=\pi \times r^2\times \frac{\theta }{360°}$

Calculation: $a=\pi \times r^2\times \frac{\theta }{360°}$

Putting the value of the radius.

  $=\frac{22}{7}\times 1\times 1\times \frac{240°}{360°}$

Taken $\pi =\frac{22}{7}$ . Also $\theta =240°$

  $=\frac{22}{7}\times 1\times \frac{2}{3}$

Simplifying the expression.

  $=\frac{44}{21}$

Dividing the numerator by the denominator.

  $=2.09$

Rounding to the nearest tenth.

  $=2.1$ square feet.