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

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

10 Online Users


New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.