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.)
θ = 150°, s =
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.)
θ = 150°, s =
Log On
Question 1127644: 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.)
θ = 150°, s = 5 km
The arc length is proportional to the central angle; 5km for 150 degrees means 1km for each 30 degrees. Since the whole circle is 360 = 12*30 degrees, the circumference of the circle is 12km. Then the radius is the circumference divided by 2pi.
