For each of the following angles, assume that the terminal ray of the angle opens up in the counter-clockwise direction a. a) A circle with a radius 8 cm long is centered at Angle A's vertex, and Angle A subtends an arc length of 88 cm along this circle.-The subtended arc is how many times as long as the circle's radius?- Therefore, the radian measure of Angle A is?b) A circle with a radius 18 cm long is centered at Angle B's vertex, and Angle B subtends an arc length of 72 cm along this circle. What is the radian measure of Angle B?c) A circle with a radius 3 inches long is centered at Angle C's vertex, and Angle C subtends an arc length of 1.1781 inches along this circle. What is the radian measure of Angle C?
Accepted Solution
A:
Answer:a) 11 θ = 11b) 4 θ = 4c) 0.3927 θ = 0.3927Step-by-step explanation:a) r = 8 cm length = 88 cm Then The subtended arc is 11 times as long as the circle radiusthe radian measure angle A is 11b) r = 18 cm length = 72 cm The subtended arc is 4 times as long as the circle radiusthe radian measure angle A is 4c) r = 3 in length = 1.1781 inThe subtended arc is 0.3927 times as long as the circle radiusthe radian measure angle A is 0.3927