Question

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.

Answer 1

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