SOLUTION: The radius of a circle is 4 meters. What is the angle measure of an arc ​𝜋 meters long?

Algebra ->  Circles -> SOLUTION: The radius of a circle is 4 meters. What is the angle measure of an arc ​𝜋 meters long?       Log On


   

Question 1074822: The radius of a circle is 4 meters. What is the angle measure of an arc ​𝜋 meters long?

Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of a circle is 4 meters. What is the angle measure of an arc pi meters long?
--------
Arc length = r*angle
pi = 4*angle
angle = pi/4 radians

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The circumference is 2*pi*r=8pi meters.
pi/8pi=1/8, so pi meters is 1/8th of the circumference or 1/8 of 360 degrees or 45 degrees.