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# Math circle geometry problem?

The belt on a photocopy machine is in contact with a drive cylinder over 105° of its

surface, as shown. If the length of the arc made between the drive cylinder and the

belt is 5.62 cm, what is the radius of the drive cylinder?

### 2 Answers

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- 6 months agoFavorite Answer
5.62 = 2 * pi * r * 105/360

2.81 = pi * r * 15 * 7 / (15 * 24)

2.81 = pi * r * 7/24

2.81 * 24 / (7 * pi) = r

r = 3.0666883891764061269295774290978

3.07 cm

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