SOLUTION: I need help finding the formula for this word problem:
A circular swimming pool is surrounded by a walkway that is 2 meters wide. Find the radius of the pool if the area of the w
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-> SOLUTION: I need help finding the formula for this word problem:
A circular swimming pool is surrounded by a walkway that is 2 meters wide. Find the radius of the pool if the area of the w
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Question 107539: I need help finding the formula for this word problem:
A circular swimming pool is surrounded by a walkway that is 2 meters wide. Find the radius of the pool if the area of the walkway is 88 m2. (Let pi = 22/7) Hint: Do not substitute the fraction for pi until near the end of the problem.)
I can do the math, once I have an equation. THANK YOU so much for helping!
Regards,
KK Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A circular swimming pool is surrounded by a walkway that is 2 meters wide. Find the radius of the pool if the area of the walkway is 88 m2. (Let pi = 22/7) Hint: Do not substitute the fraction for pi until near the end of the problem.)
:
Let r = radius of the pool
Circular area which include the walkway radius = (r+2): call it the big circle
:
Big circle area - pool area = 88
(pi*(r+2)^2) - (pi*r^2) = 88
:
(pi(r^2 + 4r + 4)) - pi*r^2 = 88; FOILed (r+2)(r+2)
:
pi*r^2 + 4pi*r + 4*pi - pi*r^2 = 88
