Question

In a circle with a radius of 2158 yd, an arc is intercepted by a central angle of 5π/6 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.

Answer 1

56.59

Step-by-step explanation:

Just took the test. :)

Answer 2

a circle is 2pi radians

find circumference
c=2pir
c=2pi2158
c=4316pi


arclength=x
x/4316pi=(5pi/6)/2pi
x/4316pi=5pi/12pi
x/4316pi=5/12
times both sides by 4316pi
x=21580pi/12
x=5646.766666
round


5646.77 yd