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# geo help

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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.

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:

$$\text{Arc length}=r\theta$$

$$\theta =$$ 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