SOLUTION: Hello, I am a junior struggling with her summer homework. Here is the question: An arc of a circle has a measure of 80 degrees and a length of 88pi centemeters. What is the diame

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Question 207633: Hello, I am a junior struggling with her summer homework.
Here is the question:
An arc of a circle has a measure of 80 degrees and a length of 88pi centemeters. What is the diameter of the circle?
Please help!
Thanks a lot!
Answer by Alan3354(21550) About Me  (Show Source):
You can put this solution on YOUR website!
An arc of a circle has a measure of 80 degrees and a length of 88pi centemeters. What is the diameter of the circle?
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The entire circle, 360 degs, has a circumference of 2pi*r
80 degs is 80/360 of the circumference, = 2/9.
So, 2pi*r*2/9 = 88pi
4pi*r/9 = 88pi
r/9 = 22
r = 198 cm
dia = 396 cm