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vodka [1.7K]
4 years ago
15

Find the measure of a central angle that intercepts an arc of 27 inches in a circle whose radius is 10 inches.

Mathematics
1 answer:
Rainbow [258]4 years ago
6 0
Ok
x=angle
we want radians
2pi radians in 1 circle
x/2pi=27/circumference

find circumfernce
c=2pir
c=2pi10
c=20pi

x/2pi=27/20pi
times both sides by 2pi
x=27/10
x=2.7
answer is 2.7 radians
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