David asked in Science & MathematicsMathematics · 6 months ago

# 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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• 6 months ago

Let the diameter be d, then

3.14(48)d=192

=>

d=1.3 m approximately.

• 6 months ago

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).

• 6 months ago

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//

• David
Lv 7
6 months ago

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

• RR
Lv 7
6 months ago

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

• 6 months ago

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