Question

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

15 cm,
3 cm
0
radians

Answer 1

∅ = 5 radians

Explanation:

`Arc.Length=2\pi r((Ctrl.Angle)/(360) )`

`Ctrl.Angle=(360(Arc.length))/(2\pi r)`

∅
`=((360)(15))/(2\pi (3))`

∅ = 286.48°

In radians:

∅ = (286.48)(3.1416)/180 = 5 radians

Hope this helps