Answered: Find the length of a 35° arc of a…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Find the length of a

35°

arc of a circle whose radius is

cm.

Expert Solution

Step 1

If the central angle is in degree, the arc length of the circle is obtained using the formula $\begin{array}{rcl} Arc length & = & \frac{θ}{360 °} \cdot (2 πr) \end{array}$ where $θ$ is the central angle and $r$ is the radius.

Here, the central angle of the arc is $35 °$ and the radius of the circle is 8 cm.

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