Asked by Brady

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.)

A.5π/√2 feet

B.5π feet

C. (10√2+10)∙ π feet

D.30π feet

The first answer that I did, it was a, and I got it wrong. I did the dividing radicals part again, and now I think the correct answer is C. Can someone check it, I would appreciate it.

If someone can help me as soon as possible with a walk through, it would help a lot!

Answered by Steve
2πr = 2π(5/(√2-1)
= 2π(5/(√2-1)*(√2+1)/(√2+1)
= 2π(5/(√2+1))/(2-1)
= 10π(√2+1)

(C) is correct
Answered by Brady
Thank you Steve! You helped a lot, I was working on it for a while, but after a little bit I had my sister help me. She didn't know, so i turned to this site. It helps a lot, and you guys help a lot. Thank you again!
Answered by radical
To simplify the radical below, which of the following expressions would be multiplied by the radical?
Answered by radical
A swimmer must swim along the length of a rectangular pool, from one edge to the other, as shown below. He knows the distance from one corner of the pool to the other, as well as the width of the pool. How far must he swim along the length? The picture below is not drawn to scale
Answered by LOuis
i need the answers