For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120 degrees
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Radius = 15 cm
Angle = 120 degrees
Determine the length of arc intercepted by the angle.
Formula for the length of arc:
s = r θ
s = arc length
r =radius
θ = angle in radians
Solution:
Since we are asked for the angle in radians, we must change first 120 degrees in radians. To do so, we multiply 120 by pi /180, hence
= 120 pi/180
= 2pi/3
s = (15 cm)(2 pi/3)
s = 31.41 cm
Final answer
31.41 cm