A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is:
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the diameter of the wheel is 28 m I think it's correct answer hope my answer satisfies you please mark my answer as brainliest answer
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Given :
- Distance covered = 88 m
- Total number of revolutions = 1000
To find :
- What is the diameter of the wheel ?
Solution :
Distance covered by the wheel in 1 revolution
⇒ 88 × 1000/1000 [ ∴ 1 km = 1000 m ]
⇒ 88 m
As we know that, wheel is in circular shape,
So,
⇒ Circumference of the wheel = Distance covered by the wheel in 1 revolution
⇒ Circumference = 88 m
⇒ 2π × r = 88
⇒ 2 × 22/7 × r = 88
⇒ 2 × r = 88 × 7 /22
⇒ 2r = 4 × 7
⇒ r = 28 /2
⇒ r = 14 m
As we know that
Diameter = 2r
⇒ Diameter = 2 × 14
⇒ Diameter = 28 m.
hence, the diameter of the wheel is 28 m.
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