Find the radius of the circle if an arc of length 5 ft on the circle subtends a central angle of 135°. (Round your answer to two decimal places.)

3 answers

5 ft : 135° = x ft : 360°
5/135 = x/360
x = 40/3 ft

This is the whole length of the circle or the circumference. To get the radius,
C = 2πr
r = C / 2π
r = 40/3 / (2*3.14)
r = 2.12 ft
Given a central angle of q = 35° and a radius of 1.5 inches, calculate the arc length of the arc formed from the two radii that make up that central angle.
find the arc of 150 an 18