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