Chapter 11.3, Problem 50STP

To determine

The area of the sector.

Answer to Problem 50STP

The option C is correct.

Explanation of Solution

Given information:

 What is the area of the sector?

  

Formula used:

  $A=\frac{x}{360}\pi r^2$

Calculation:

  $\begin{array}{l}A=\frac{x}{360}\pi r^2\\ =\frac{10}{360}\pi {\left(3\right)}^2\\ =\frac{1}{36}\pi \left(9\right)\\ A=\frac{\pi }{4}\end{array}$

Option C is correct

Conclusion:

The option C is correct.