SOLUTION: The entrance hall of an office building is constructed in the shape of a sector with a 17-ft radius and a 120 degree central angle. How many sq. yards of carpet should be purchased
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Question 1197553: The entrance hall of an office building is constructed in the shape of a sector with a 17-ft radius and a 120 degree central angle. How many sq. yards of carpet should be purchased? Round your answer to 2 decimal places if necessary. Found 2 solutions by ewatrrr, ikleyn:Answer by ewatrrr(24785) (Show Source):
Hi
stage: in the shape of a sector with a 17-ft radius and a 120 degree central angle.
120°/360° = 1/3
That is: Area of the stage is (1/3) of the circular area = 302.64 ft^2
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Wish You the Best in your Studies.
The area of the hall = , where is the central angle in radians.
= = = = 2.093333333 radians, therefore
the area of the hall = = 302.4867 square feet (rounded). ANSWER
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Wish You the Best in your Studies.
