Roderick works for JB Spas. He is installing a circular spa that will be enclosed by a square deck. The radius of the spa is 3.25 feet. What is the perimeter of the deck, in feet?

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13-04-2018
Mathematics

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Roderick works for JB Spas. He is installing a circular spa that will be enclosed by a square deck. The radius of the spa is 3.25 feet. What is the perimeter of the deck, in feet?

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carlosego carlosego · Answer 1 · 2018-04-22T14:03:07+02:00

The first thing we must do for this case is to find the diameter of the circle.
We have then:
d = 2 * r
Where,
r: radius
Substituting:
d = 2 * (3.25)
d = 6.5 feet
We now look for the perimeter of the square.
P = 4L
Where,
L: square side
L = d = 6.5 feet ("a circular spa that will be enclosed by a square deck")
Substituting we have:
P = 4 * (6.5)
P = 26 feet
Answer:
The perimeter of the deck, in feet is:
P = 26 feet