Question

What is the measure (in radians) of central angle in the circle below?

Answer 1

Answer:

∅ = 5 radians

Step-by-step explanation:

$Arc.Length=2\pi r(\frac{Ctrl.Angle}{360} )$

$Ctrl.Angle=\frac{360(Arc.length)}{2\pi r}$

∅ $=\frac{(360)(15)}{2\pi (3)}$

∅ = 286.48°

In radians:

∅ = (286.48)(3.1416)/180 = 5 radians

Hope this helps