Consider circle H with a 6 centimeter radius. If the length of minor arc ST is 11/12 π, what is the measure of ∠RST? Assume RS ≅ TS.A) 15° B) 25° C) 30° D) 45°
Accepted Solution
A:
check the picture below.
since the arcs of ST and RS are twins, and the circle has a total radians of 2π, then the arcRT is just 2π - arcST - arcRS.
As you can see, arcRT is the "intercepted arc" by the "inscribed angle" RST, thus