Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

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

The length $s$ of the arc is $12 f e e t .$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

$r = 6 f e e t, θ = 2 r a d i a n s, s = ?$

Step 2. Formula Used

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

$s = r θ$

Step 3. Calculation

We have,

$r = 6 f e e t a n d θ = 2 r a d i a n s$

The length $s$ of the arc is

$s = r θ$

$\Rightarrow s = 6 \times 2$

$\Rightarrow s = 12$ feet

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Precalculus Enhanced with Graphing Utilities

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Short Answer

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

Step by Step Solution

Step 1. Given information

Step 2. Formula Used

Step 3. Calculation

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

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

Step by Step Solution

Step 1. Given information

Step 2. Formula Used

Step 3. Calculation

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