Question

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π5 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Make sure to show your calculations.

Answer 1

Step 1
find the length of a circumference 
L=2*pi*r-------------> 2*pi*26.9=53.8*pi m

Step 2
find the arc length
if 2*pi radians --------------> 53.8*pi m
 (9/5)*pi radians------------> X

X=[(9/5)*pi*53.8*pi]/[2*pi]-------------> [9*53.8*pi]/[5*2]=152.04 m

the answer is 152.04 m

Answer 2

152.04 is right i just took the test

your welcome ;)