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?

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