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Q. 72

Expert-verified
Found in: Page 365

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $\theta$. Find the missing quantity. Round answers to three decimal places.$r=6$ feet, $\theta =2$ radians, $s=?$

The length $s$ of the arc is $12feet.$

See the step by step solution

## Step 1. Given information

$r=6feet,\theta =2radians,s=?$

## Step 2. Formula Used

For a circle of radius $r$ , a central angle of $\theta$ radians subtends an arc whose length $s$ is

$s=r\theta$

## Step 3. Calculation

We have,

$r=6feetand\theta =2radians$

The length $s$ of the arc is

$s=r\theta$

$⇒s=6×2$

$⇒s=12$ feet