SOLUTION: Determine the central angle that cuts off an arc of 22.5 inches on a circle with a 21.0 inch radius. Express the answer to 1 decimal place and use = 3.14.

Algebra ->  Formulas -> SOLUTION: Determine the central angle that cuts off an arc of 22.5 inches on a circle with a 21.0 inch radius. Express the answer to 1 decimal place and use = 3.14.      Log On


   

Question 1179012: Determine the central angle that cuts off an arc of 22.5 inches on a circle with a 21.0 inch radius. Express the answer to 1 decimal place and use = 3.14.
Found 2 solutions by mananth, MathLover1:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the central angle that cuts off an arc of 22.5 inches on a circle with a 21.0 inch radius. Express the answer to 1 decimal place and use = 3.14.
Length of arc = theta%2F360 *2*pi*r
(22.5 *360)/2*3.14*21 = theta
61.4 degrees

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

radius r=21in
arc length =+22.5in
central angle:
the ratio of circumference to the arc length is equal to the ratio of 360 to central angle theta
%282%2A21%2A3.14%29%2F22.5=360%2Ftheta
5.86133=360%2Ftheta
theta=360%2F%285.86133%29
+theta=+61.4+degrees