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This picture illustrates a theater stage.  Which answer is closest to its area?

 

 Mar 9, 2021
 #1
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10 x 4 = 40
Radius is 10/2 = 5

52π/2 = 12.5π

 

5 + 12.5π ≈ 44

 

Your answer is A

 Mar 9, 2021
 #2
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Ok so we first find the area of the rectangle. 10m^2 * 4m^2 = 40m^2

 

Then we find the area of the semicircle. Since we know the diameter is 10, the radius is 5. To find the area of a semicircle we use the equation\(​​\frac{1}{2}(\pi r^2)\). 1/2 (pi * 5^2)\(\approx\)40

40+5=45 so the answer is a

 

edit. yeah. what logarhythm said.

 Mar 9, 2021
edited by MobiusLoops  Mar 9, 2021

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