A central angle measures 3/2 radians. If the radius of the circle is 12 cm, what is the length of the arc intercepted by the central angle?

Answer 1

Here is the formula that you will need to use to help you solve this problem:

S = rΘ where S represents the arc length, r represents the radius, and Θ represents the central angle's measurement in radians.

We know that the central angle's measurement in radians = 3/2 and that the radius is 12cm. So, we will need to multiply the radius by the angle measurement to get the arc length.

S = (3/2)12

S = 36/2

S= 18 cm

Arc Length = 18 cm

Answer 2

By definition of radian, the arc is (3 / 2) of a radius, or 18 cm.