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?

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) (Show Source): You can put this solution on YOUR website!
central angle is of the circle in area.
The WHOLE circle CIRCUMFERENCE is , and radius of the whole circle is from , ;

The sector area is which you can simplify, or compute.
Answer by MathTherapy(10552) (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 .
Correct answer: With radius = 6,
RELATED QUESTIONS
Find the length of an arc and area of a sector of a circle of radius 30 cm, central angle (answered by Alan3354)
A sector has an area of 50cm^2 and an arc length of 4 cm. Find its radius and central... (answered by lwsshak3)
The arc length of a sector of a circle is 8π cm. If the circle has a radius 20π (answered by stanbon)
A circle has a sector with area 17pi/2 and central angle of 17pi/9 radians. what is the... (answered by josmiceli,ikleyn,math_helper)
Please help me solve: The arc length of a sector is 5pi cm. If the circle has a radius... (answered by Alan3354)
A sector of a circle has a central angle of 80 degrees.If the radius of the sector is... (answered by solver91311)
what is the area of a sector if a circle has the radius of 6 feet and 115 central... (answered by Alan3354)
In a circle of radius 5 cm, a sector has a central angle 2 rad. a. Find the arc length... (answered by ikleyn)
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18... (answered by josgarithmetic)