SOLUTION: A central angle 𝜃 in a circular garden of radius 20 meters is subtended by an arc of length 15𝜋 meters. a. What is the measure of 𝜃 in degrees?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A central angle 𝜃 in a circular garden of radius 20 meters is subtended by an arc of length 15𝜋 meters. a. What is the measure of 𝜃 in degrees?       Log On


   



Question 1187903: A central angle 𝜃 in a circular garden of radius 20 meters is subtended by an arc of length 15𝜋 meters.
a. What is the measure of 𝜃 in degrees?

Answer by Alan3354(69443) About Me  (Show Source):
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A central angle 𝜃 in a circular garden of radius 20 meters is subtended by an arc of length 15𝜋 meters.
a. What is the measure of 𝜃 in degrees?
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Angle in radians = 15*pi/r = 3pi/4
1 radian = 180/pi degrees