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): You can put this solution on YOUR website!

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
____________
.
Wish You the Best in your Studies.


Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

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

Solved.



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