Question

A hotel wants to put a fence around a circular spa. The radius of the spa is 5/√2-1 feet. If the fence is built along the immediate edge of the spa, what is the perimeter of the fence? (Recall that the

perimeter of a circle is 2πr , where r is the radius of the circle.)

Answer 1

To calculate the perimeter of the fence around the spa, you use the formula 2πr, substituting the spa's radius, 5/√2-1 feet, into the formula.

Step-by-step explanation:

The radius of the spa is given as 5/√2-1 feet. To find the perimeter of the fence, which is the same as the circumference of the circular spa, you use the formula 2πr, where r is the radius of the circle.

Substitute the given radius into the formula:

Perimeter = 2π(5/√2-1)

Perform the multiplication to obtain the perimeter. This will give you the total length of the fence needed to surround the spa.

Answer 2

It is important to look at all the information's that are given in the question very closely. Let us write them write first.

Radius of the spa = 5/√2-1 feet
Now
Perimeter of the circle = 2πr
= 2π (5/√2-1)
= π(5/(√2-1)*(√2+1)/(√2+1)
= 2π(5/(√2+1))/(2-1)
= 10π(√2+1)

I hope that the procedure is clear enough for you to understand.