SOLUTION: If a radius of a certain circle is tripled, with 8.2 centimeters then added, the result is the circumference of the circle. Find the radius of the circle.

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Question 236330: If a radius of a certain circle is tripled, with 8.2 centimeters then added,
the result is the circumference of the circle. Find the radius of the circle.

Answer by Theo(2978) About Me  (Show Source):
You can put this solution on YOUR website!
r = radius of the circle.

circumference of the circle = 2*pi*r

3*r + 8.2 = 2*pi*r

solve for r.

subtract 2*pi*r from both sides of the equation and subtract 8.2 from both sides of the equation to get:

3*r - 2*pi*r = -8.2

factor out the r to get:

r * (3-2*pi) = -8.2

divide both sides of the equation by (3-2*pi) to get:

r = -8.2 / (3-2*pi)

simplify to get:

r = 2.49757453

3*r + 8.2 = 156.9272359

2*pi*r = 156.9272359

Since they are the same, the answer is confirmed.

the answer is:

r = 2.49757453 centimeters.