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katovenus [111]
3 years ago
12

A circle has a circumference of 18. It has an arc of length 6. What is the central angle of the arc, in degrees?

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0
Circumference: 2πr C=18 so r= 18/2π= 9π

Arc length = rθ 6=(9π)θ θ=6/9π

Convert to degrees by multiplying by 180/π

6/9π x 180/π = 120 degrees
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