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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? Round your answer to the nearest tenth.
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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? Round your answer to the nearest tenth.

User Udit Gupta
by
8.7k points

2 Answers

3 votes
Circumference = 2Pi(r) = 6Pi = 18.85
Comparing the arc length to the entire circumference is
8:18.85 = .4344
Then comparing the central to 360 degrees in a circle is
Angle:360 = 8:18.85
Angle = 152.8 degrees
User Michele Piccolini
by
7.6k points
2 votes

Answer:

2.7 radians

Explanation:

or C

User Rbaleksandar
by
7.5k points
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