+0  
 
+1
35
1
avatar

For a particular circle, a central angle of 75 degrees will intercept an arc of length 15pi feet. What is the radius of this circle?

 Dec 4, 2020
 #1
avatar
0

Arc Length =75 x pi/180 x r (radius)
15pi =75 * pi/180 * r

 

Solve for r:
15 π = (5 π r)/12

15 π = (5 π r)/12 is equivalent to (5 π r)/12 = 15 π:
(5 π r)/12 = 15 π

Divide both sides by (5 π)/12:
 
r = 36 - the radius of the circle

 Dec 4, 2020

19 Online Users