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.Com
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

RELATED QUESTIONS

In the following problem, θ is a central angle that cuts off an arc of length s.... (answered by josgarithmetic)
In the following problem, θ is a central angle that cuts off an arc of length s.... (answered by greenestamps)
In the following problem, θ is a central angle that cuts off an arc of length s.... (answered by ikleyn,josmiceli)
In the following problem, θ is a central angle that cuts off an arc of length s.... (answered by lwsshak3)
Find the radian measure of angle €(theta), if € is a central angle in a circle of radius... (answered by Alan3354)
Unless otherwise stated, answers that need to be rounded should be rounded to three... (answered by Boreal)
In a circle the radius is r = 4 and central angle θ = 130°. Find the length of the... (answered by ewatrrr)
Find the measure of a central angle θ in a circle of radius 5ft if the angle is... (answered by Alan3354)
theta is a central angle in a circle of radius r = 5 mm. Find the length of arc s cut off (answered by jsmallt9)