An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

Question

Licemer1 [7]

2 years ago

11

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

und your answer to the nearest tenth.

Mathematics

2 answers:

mina [271] · Answer 1 · 2022-01-24T17:12:38+03:00

Given:
Arc length = 8 inches
radius = 3 inches
find the measure of the central angle.

Arc length = radius * central angle
central angle = arc length / radius
central angle = 8 inches / 3 inches
central angle = 2.667 (radian)

Central angle in degrees = 152.88°

Circumference of the circle = 2 * 3.14 * 3 inches = 18.84 inches
1 circle = 360° / 18.84 inches = 19.11° per inch
19.11° per inches * 8 inches of arc length = 152.88°

butalik [34] · Answer 2 · 2022-01-24T18:47:41+03:00

butalik [34]2 years ago

3 0

The answer is 2.7 radians. C on edgunity