Chapter 13.2, Problem 34PPS

To determine

Calculate the arc length of the arc.

Answer to Problem 34PPS

The length of the arc is $94.2m$ .

Explanation of Solution

Given: It is given in the question that the radius is $27m$ and the angle is $\frac{10\pi }{9}$ .

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,

  $\begin{array}{l}s=r\cdot \theta \\ s=27m\cdot \frac{10\pi }{9}\\ s=\frac{270\pi }{9}m\\ s=30\pi m\\ s=94.2m\end{array}$

Conclusion:

The length of the arc is $94.2m$ .