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.

lysxsa May 21, 2018

edited by
Guest
May 21, 2018

#1**+3 **

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!

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

TheXSquaredFactor May 21, 2018