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In a circle with a radius of 2158 yd, an arc is intercepted by a central angle of 5π6 radians.

 

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.
 

 May 21, 2018
edited by Guest  May 21, 2018
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When the angle measure in given in radians, the formula for arc length is the following:

 

\(\text{Arc length}=r\theta\)

 

r = length of radius

\(\theta =\) measure of angle, in radians

 

Let's use this formula, then!

 

\(r=2158,\theta =\frac{5\pi}{6};\\ \text{Arc length}=2158*\frac{5*3.14}{6}=5646.77\text{yds}\)  
   
 May 21, 2018

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