SOLUTION: A swimmer stands somewhere in a circular pool. The distance to the farthest side(through the center of the pool) is 3 times the distance to the nearest side. The circumference of t

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Question 1045605: A swimmer stands somewhere in a circular pool. The distance to the farthest side(through the center of the pool) is 3 times the distance to the nearest side. The circumference of the pool is 100ft.
a) how close is the swimmer to the nearest side
b) how far must the swimmer swim to get to the center
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A diameter is cut into two segments. Call them x and y.
3x=y, so this means 3x%2Bx=d using d for DIAMETER.
4x=d
and if want r for radius, then r=2x.

Circumference information allows to say 2pi%2Ar=100.
pi%2Ar=50
r=50%2Fpi-------radius is now solved.

Solve for the segments x and y.
x=r%2F2
x=%2850%2Fpi%29%2F2
highlight%28x=25%2Fpi%29------distance swimmer is from nearest side.
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solving for y is not necessary.

How far to swim to get to the center of the circle?
highlight_green%28r-x%29
and you can handle that expression to find the value.