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
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Answered by LOuis
i need the answers
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