Chapter 12.2, Problem 31PPS

To determine

Calculate the length of the curved part of the ramp.

Answer to Problem 31PPS

The length of the curved path of the lamp is $12.57ft$ .

Explanation of Solution

Given: It is given in the question that the skateboard ramp at the right angle and the radius is $8ft$ .

Concept Used:

In this, use the concept of formula of arc length of the circle, $s=r\cdot \theta$ .

Calculation: Here, r = $8ft$ , $\theta =\frac{\pi }{2}$

Using the arc length formula ,

  $\begin{array}{l}s=r\cdot \theta \\ s=8ft\cdot \frac{\pi }{2}\\ s=4\pi ft\\ s=4\times 3.14ft\\ s=12.57ft\end{array}$

Conclusion:

The length of the arc is $12.57ft$ .