Find the measure of the central angle (in radians) subtended by an arc of length 6 centimeters in a circle of radius 4 centimeters.

Question

Find the measure of the central angle (in radians) subtended by an arc of length 6 centimeters in a circle of radius 4 centimeters.

Answer 1

s = rθ, where r is the radius, θ is the radian measure of the central angle, and s is the arc length.

 

So, 6 = 4θ

 

      θ = 1.5 radians

Answer 2

One radian is 4cm

6cm is 1.5 radians

The central angle is the same measure.