Segment PM and segment PN are tangent to circle O at M and N, respectively; m

Question

Segment PM and segment PN are tangent to circle O at M and N, respectively; m <MON = 120 degrees and OM = ON = 5. Find the perimeter of the shaded region. (look at picture below)
(a) 10 + 10pi
(b) 5 square root 3 + 10pi
(c) 5 square root 3 + (10/3)pi
(d) 10 square root 3+ (10pi/3)
(e) 10 square root 3 + 10pi

anonymous · Answer

attachment

nali · Answer

|dw:1343026271427:dw|

i devided the triangle so it is easier to see that this a 30-60-90 triangle where the anffgel that is given can be divided into two 60's

nali · Answer

i meant where the angle that is given

nali · Answer

|dw:1343026452182:dw|

in a 30 60  90 traingle there are some rules

|dw:1343026518918:dw|