# trigo

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the front wheel of a bicycle has a diameter of 16 in and the back wheel has a diameter of 26 in. through what angles does the front wheel turn if the rear wheel turns through 24 radians?

• trigo -

The product of radius and angle turned through is the same for both wheels. The smaller wheel turns faster.

24*26 = 16*theta
theta = 1.5*26 = 39 radians

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