Chapter 12.1, Problem 36SR

To determine

The area that can hear the band.

Answer to Problem 36SR

The area is $9.0828miles$ that can hear the band.

Explanation of Solution

Given:

Radius of football ground $:1.7miles$

Concept Used:

Area of Circle $:\pi r^2$

Where,

  $r:$ Radius

Calculation:

During a football game, a marching band can be heard within a radious $1.7miles$ that means sound heard in a circle.

So the Area of circle $:\pi r^2$

Where, $r=1.7miles$

  $\begin{array}{l}=\pi r^2\\ =\frac{22}{7}\times 1.7\times 1.7\\ =\frac{63.58}{7}\\ =9.0828miles\end{array}$

Area of circle: $9.0828miles$

Conclusion:

Hence, the area is $9.0828miles$ that can hear the band.