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Q. 72

Expert-verifiedFound in: Page 365

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 $12feet.$

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

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

$s=r\theta $

We have,

$r=6feetand\theta =2radians$

The length $s$ of the arc is

$s=r\theta $

$\Rightarrow s=6\times 2$

$\Rightarrow s=12$ feet

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