member 508213
I was taking a test yesterday and this question came up, it could possibly be the only one I missed on the test. I roughly sketched and described the problem to the best of my memory, but I guarantee that all of the essential information is there. I have attached the problem to this question please view it so you can help me out better.
Discussing the problem: Since you need to find the length of the belt, I first found the portion covering the circles and since the circumference of the circles are 10pi and 2 pi respectively, I multiplied by the ratio that the belt covered of the circles, which were 2/3 and 1/3. So when you add those numbers together you get 22pi/3 and then all that is left is to find the length of the belt in between the two circles. This is where I got stuck, I looked at the answer choices and one of them had 22pi/3 + 8, and the other had 22pi/3 + 8(√3). I chose the second option but I have no idea how to actually finish this problem and would appreciate the help, thank you.
Discussing the problem: Since you need to find the length of the belt, I first found the portion covering the circles and since the circumference of the circles are 10pi and 2 pi respectively, I multiplied by the ratio that the belt covered of the circles, which were 2/3 and 1/3. So when you add those numbers together you get 22pi/3 and then all that is left is to find the length of the belt in between the two circles. This is where I got stuck, I looked at the answer choices and one of them had 22pi/3 + 8, and the other had 22pi/3 + 8(√3). I chose the second option but I have no idea how to actually finish this problem and would appreciate the help, thank you.
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