Chapter 6.1, Problem 75AYU

In Problems 71-78, $s$ denotes the length of the are of a circle of radius $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.

$r=5miles$, $s=3miles$, $\theta =$ ?

To determine

To find: The angle$\left(\theta \right)$.

Answer to Problem 75AYU

Solution:

$\theta =0.6$ radian

Explanation of Solution

Given:

$r=5$ miles, $s=3$ miles

Calculation:

$s=r\theta$

$\theta =\frac{s}{r}$

$\theta =\frac{s}{r}=\frac{3}{5}=0.6$ radian

Therefore the angle $\theta =0.6$ radian.