Question

The diameter of a wheel is 63 cm. If it makes 12 revolutions, what distance will it cover? Give your answer in metres to 1 d.p. Take π to be 3.14.

Answer 1

Answer:

23.74m

Explanation:

Given that,

Diameter of a wheel is 63cm. It makes 12 revolutions.

Find the distance covered.

Here,

1 revolution of the wheel = Circumstance of the wheel.

Finding it's circumstance :-

⇒ 2πr

Where,

• r(radius) = 63/2 cm. [∵ r = d/2]
• Taking ‘π’ as 3.14

So,

= 2 × 3.14 × 63/2

= 197.82

Now, the total distance covered is :-

= 12 × 197.82

= 2373.84

= 2374 (approx.)

As per as question, converting in metres :-

= 2374 ÷ 100 [∵ 1 metre = 100cm]

= 23.74m

The wheel covers 23.74 in 12 revolutions.

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Formula used :-

• Circumstance of a circle = 2πr

Where, ‘r’ denotes the radius