Find the length of the arc intercepted by a central angle of 1.5 radians in a circle of radius 9 cm.

13.5 cm

Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle θ. We know that for the angle equal to 360 degrees (2π), and the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L/θ = C/2π (C = Circumference = 2πr)

L/θ = 2πr/2π,

L/θ = r,

L = r*θ = 9 cm * 1.5 = 13.5 cm