SOLUTION: A new circular fountain is being designed for a park. Suppose the designer of the fountain decides that the surface area of the water in the fountain should be 450 sq ft. Find th
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Question 400708: A new circular fountain is being designed for a park. Suppose the designer of the fountain decides that the surface area of the water in the fountain should be 450 sq ft. Find the diameter of the fountain. explain how you found the diameter....
Okay I took the 450 with pi, and was incorrect my teacher marked me incorrect. I am allowed to correct and return the problems that I missed. I would appreciate honest help and information on how to find the solution to this problem. Thanks!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A new circular fountain is being designed for a park.
Suppose the designer of the fountain decides that the surface area of the
water in the fountain should be 450 sq ft.
Find the diameter of the fountain. explain how you found the diameter....
:
The area of a circle, = A
In this problem
= 450
:
Divide both sides by pi
:
Divide 450 by pi
r^2 = 143.239
:
Find the square root of both sides
r =
r = 11.968 is the radius
:
but they asked for the diameter
2 * 11.968 = 23.936 ft is the diameter
:
:
Check solution by finding the area with r=11.968 using a calc:
= 449.98 ~ 450
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