# What is the diameter of the wheel?

Trey races his bicycle for 192m. A wheel of his bicycle turns 48 times as the bicycle travels this distance. What is the diameter of the wheel? Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.

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• Let the diameter be d, then

3.14(48)d=192

=>

d=1.3 m approximately.

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• Trey races his bicycle for 192 m.

A wheel of his bicycle turns 48 times as the bicycle travels this distance.

The circumference of the bicycle wheel is 4 m.

π d = 4 m

Use the value 3.14 for π.

The diameter of the wheel:

1.3 m (rounded to the nearest tenth).

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• given D = 192 m

R = 48

C= ?

R = D/C

RC = D

C = D/R

C = 192/48

C = 4

C = πd

4 = (3.14)d

d = 1.27m or 1.3m answer//

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• The diameter of the wheel works out as 4/3.14 = 1.3 m rounded to the nearest tenth

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• Trey races his bicycle for 192m. A wheel of his bicycle turns 48 times as the bicycle travels this distance.

1 revolution (ie circumference of wheel) = 192/48 = 4m

Circumference = 2 π r .....or π x diameter.

4 = π d

4 = 3.14 x d

d = 4/3.14

d = 1.3m

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• 192 / 48 = Circumference of wheel

4 = 2 * pi * r

2 / pi = r

2 / 3.14 = r

r = 200 / 314

r = 100 / 157

r = 0.63694267515923566878980891719745....

r = 0.6 meters

d = 2r

d = 1.2738853503184713375796178343949... meters

d = 1.3 meters

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