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Mathematics

Grade9

Easy

Question

A motorized scooter has a chain drive. The chain goes around the front and rear sprockets. About how long is the chain?

37 in.
45 in.
25 in.
48 in.

hint Hint:

Arc length = $equals fraction numerator theta over denominator 360 end fraction cross times 2 cross times pi cross times r$

The correct answer is: 25 in.

Big arc length = ( $fraction numerator 180 over denominator 360 end fraction$ ) $cross times pi cross times$ $fraction numerator 49 over denominator 8 end fraction$ = 9.62
Small arc length = ( $fraction numerator 180 over denominator 360 end fraction$ ) $cross times pi cross times fraction numerator 23 over denominator 32 end fraction$ =2.25
Length of the chain = Big arc length + small arc length + (6 + ( $fraction numerator 9 over denominator 16 end fraction$ ) $cross times$ 2
= 9.62+ 2.25 + (2 $cross times$ 6.56) = 24.99 = 25

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