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Kaitlin races her bicycle for 98 m. A wheel of her bicycle turns 49 times as the bicycle travels this distance. What is the diameter of the wheel? Use the value 3.14 for n. Round your answer to the nearest tenth

Kaitlin races her bicycle for 98 m. A wheel of her bicycle turns 49 times as the bicycle-example-1
User Lambdageek
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1 Answer

2 votes

Answer:

0.6m

Step-by-step explanation:

Given the following

Total distance covered = 98m

pi = 3.14

Circumference of the wheel is the distance travelled in one rotation. Hence;

distance travelled in one rotation = \pi d

d is the diamter of the wheel

distance travelled in 49 rotation = 49*\pi d

Since distance travelled in 49 rotation = 98m, then;

98 = 49*\pi d

Divide both sides by 49

98/49 = \pi d

2 = 3.14d

d = 2/3.14

d = 0.6m

Hence the diameter of the wheel is 0.6m

User Alex Rmcf
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