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Rahman Bah & Diallo LLC is building the base of a circular fountain for the new Ember Campus. On the blueprint, the base of the fountain has a diameter of 18 centimeters. The blueprint has a scale of three centimeters to four feet. What will be the actual area of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenth of a square foot.

Guest Oct 31, 2017
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 #1
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Will do the scale first:

18/3 x 4 = 24 feet - diameter of the base of the fountain.

24 /2 = 12 feet - the radius of the base of the fountain.

Area of circle =r^2 x Pi, where r =radius

Area =12^2 x 3.141592

Area =452.4 Square feet - the actual area of the base of the fountain.

Guest Oct 31, 2017
 #2
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3 cm  :  4 feet

 

So

 

18 cm  :  24 feet

 

So...the actual area  is

 

pi (24/2)^2  =  144 pi ft^2   ≈  452.4  ft^2

 

 

cool cool cool

CPhill  Oct 31, 2017

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