Question 797808: Hello,
Could you please help me with this problem? Please show me step by step instructions for solving this problem so I will understand it.
The problem is:
Find the area of the walkway (36 inches wide) that will be installed around a circular jacuzzi with a diameter of 6 feet. Round your intermediate steps and answer to two decimals.
I would appreciate your help with this question. Need answer asap.
Thank you
Robin
Answer by lmeeks54(111)   (Show Source):
You can put this solution on YOUR website! Robin,
It may not seem like it, but your teacher gave you a pretty straightforward problem to solve. To solve for the area of a circular walkway around a circular jacuzzi pool, imagine this problem as figuring out the area of a big circle and subtracting the area of a smaller circle inside of it. Email me and I will send you a drawing to go along with the explanation below.
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The formula for the area (A) of a circle is A = pi x r^2 (r squared), where pi can be approximated to be 3.14 and r = radius of the circle. The radius r, is 1/2 the diameter, d.
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The big circle = the radius of the pool (3') + the width of the walkway (3')
The small circle = pool radius of 3' (based upon 6' diameter given in problem)
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Compute the area of the big circle (jacuzzi + walkway):
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A = pi x (3 + 3)^2
A = 3.14 x 6^2
A = 3.14 x 36
A = 113.10
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Compute the area of the inner circle (jacuzzi only):
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A = pi x (3)^2
A = 3.14 x 9
A = 28.27
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Subtract the smaller circle from the larger circle to compute the area of circular walkway:
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Area of walkway = 113.10 - 28.27 = 84.83 sq ft.
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