Question

Rafael races his bicycle for
70m
. A wheel of his bicycle turns
29
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.

Answer 1

Distance traveled = 70 m
Number of rotations = 29

We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m

Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768

In short, Your Answer would be: 0.8 m

Hope this helps!

Answer 2

Total distance=70m
Revolutions of wheel=29
revolutions ×circumference of wheel=total distance
29×2pi×r=70
2×3.14×r=70/29
Since 2r=d
d×3.14=70/29
d=70×100/29×314
d=0.768
d=0.8m