In circle shown below the radius is 12 inches If the measure

In circle shown below, the radius is 12 inches. If the measure of the central angle is mDCOD =150°, find the exact value for lCD.

12 a. 24 in. Ob. 10n in. in OC.5 in. Od.6 in. D in. in in in C 77-1 i 40 2156 0000

Solution

Solution:

In any circle

if an acr extend and angle of 150^o = (5/6) radian

there angle of arc = (l/r )

(5/6)* = (l /12)

l = 10 inche

therefore arc CD = 10 in

Answer: Arc CD = 10 in