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

Question

Cecelia Combs

Mathematics

18 January, 01:42

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

+1

Answers (1)

Know the Answer?

Liana Owens · Answer 1

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 rad2.7 rad27 rad270 rad

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