Question

Find the radius of the circle containing 20 degree arc of a circle whose length is 15 Pi meters

Answer 1

s = rθ where s is the arc length, r is the radius, and theta is the angle (in radians)

We first have to convert 20 degrees tor radians so we do

20 * pi/180 = pi/9

15pi is the s value (arc length) so we have:

15pi = pi/9 * r

15pi / (pi/9) = r

r = 135m