Find the measure of a central angle that intercepts an arc of 27 inches in a circle whose radius is 10 inches. .27 rad 2.7 rad 27 rad 270 rad

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asked Sep 9, 2018 170k views

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SLLegendre · Answer 1 · 2018-09-14T07:08:57+0000

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

Find the measure of a central angle that intercepts an arc of 27 inches in a circle whose radius is 10 inches. .27 rad 2.7 rad 27 rad 270 rad

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