Consider circle H with a 6 centimeter radius. If the length of minor arc ST is

11

2

π, what is the measure of ∠RST? Assume RS ≅ TS.

Given that the circle radius of 6 cm and a minor arc ST = 11pi/2. the measure of the angle rst can be solve using the formula s = ra

where s is the lenght of the minor arc

r is the radius of the circle

and a is the measure of the angle in radians

s = ra

a = s/r

a = (11pi/2) / 6

a = 11pi/12

or

a = 165 degrees is the measure of angle RST