SOLUTION: Find the area of the sector of a circle with radius 14 inches formed by a central angle of 6 radians:

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Question 1106217: Find the area of the sector of a circle with radius 14 inches formed by a central angle of 6 radians:

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area of the sector of a circle with radius 14 inches formed by a central angle of 6 radians:
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Area = pi*r^2*(6/2pi) = 3r^2
Area = 588 sq inches
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Notice it's the angle times r^2/2.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Area = %281%2F2%29%2Ar%5E2%2Aalpha = %281%2F2%29%2Api%2Ar%5E2%2A%286%2F%282pi%29%29 = %286%2F4%29%2Ar%5E2 = %283%2F2%29%2A14%5E2 = 294 square inches.



The area of the sector is  HALF THE PRODUCT  of the square of the radius by the central angle in radians.



See the lesson
    - Area of a sector 
in this site.