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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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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

User Kishan Chauhan
by
6.3k points

1 Answer

1 vote
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
User SLLegendre
by
5.8k points
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