SOLUTION: Hi tutors, can you help me answer this? Thanks A circle of area {{{ 154 cm^2 }}} has a sector removed from it. The center angle of the sector is θ. The arc length of the

Algebra ->  Circles -> SOLUTION: Hi tutors, can you help me answer this? Thanks A circle of area {{{ 154 cm^2 }}} has a sector removed from it. The center angle of the sector is θ. The arc length of the       Log On


   

Question 981519: Hi tutors, can you help me answer this? Thanks
A circle of area +154+cm%5E2+ has a sector removed from it.
The center angle of the sector is θ.
The arc length of the removed sector is 7.3 cm.
Which of these is the value closest to θ?
A. 20˚
B. 50˚
C. 60˚
D. 120˚
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, radius
pi%2Ar%5E2=154
r%5E2=154%2Fpi
r=2%2A7%2A11

c, circumference
c=2pi%2Ar
c=2pi%282%2A7%2A11%29
c=4%2A7%2A11%2Api

Arc length removed, 7.3 cm.

Central Angle is %287.3%2F%284%2A7%2A11%2Api%29%29%2A360, degrees.