SOLUTION: In the following problem, θ is a central angle that cuts off an arc of length s. Find the radius of the circle. (Round your answer to two decimal places.)
t = 150°, s = 5 km
Algebra ->
Triangles
-> SOLUTION: In the following problem, θ is a central angle that cuts off an arc of length s. Find the radius of the circle. (Round your answer to two decimal places.)
t = 150°, s = 5 km
Log On
Question 1127842: In the following problem, θ is a central angle that cuts off an arc of length s. Find the radius of the circle. (Round your answer to two decimal places.)
t = 150°, s = 5 km Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! In the following problem, t is a central angle that cuts off an arc of length s. Find the radius of the circle. (Round your answer to two decimal places.)
t = 150°, s = 5 km
---
C = 2pi*r
s = (150/360)*C = r*5pi/6 = 5
r = 6/pi km
=================
Using radians
------------
t = 5pi/6 radians
s = r*t = 5
r = 5/(5pi/6) = 6/pi km