SOLUTION: A sector of a circle has an arc length of π cm and a central angle of π/6 radians. What is the area of the sector?

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Question 1180922: A sector of a circle has an arc length of π cm and a central angle of π/6 radians. What is the area of the sector?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
central angle pi%2F6 is 1%2F12 of the circle in area.
The WHOLE circle CIRCUMFERENCE is 12pi, and radius of the whole circle is from 2pi%2Ar=12pi, r=6;

The sector area is %281%2F12%29pi%2A6%5E2 which you can simplify, or compute.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A sector of a circle has an arc length of π cm and a central angle of π/6 radians. What is the area of the sector?
This is WRONG ====> The sector area is %281%2F2%29pi%2A6%5E2.
Correct answer: With radius = 6,