Chapter 13.2, Problem 33PPS

To determine

Calculate the arc length of the arc.

Answer to Problem 33PPS

The length of the arc is $6.7cm$ .

Explanation of Solution

Given: It is given in the question that the radius is $5cm$ and the angle is $\frac{3\pi }{7}$ .

Concept Used:

In this, use the concept of may be sometimes changing degree into radian by multiplying $\frac{\pi }{180}$ or changing radian into degree by multiplying $\frac{180}{\pi }$ and use the formula of arc length $s=r\cdot \theta$ .

Calculation: Now, use the arc length formula,

  $\begin{array}{l}s=r\cdot \theta \\ s=5cm\cdot \frac{3\pi }{7}\\ s=\frac{15\pi }{7}cm\\ s=\frac{15\times 3.14}{7}cm\\ s=6.7cm\end{array}$

Conclusion:

The length of the arc is $6.7cm$ .