Question

A bicycle wheel has a diameter (including the tyre) of 56 cm. the number of times the wheel will rotate to cover a distance of 2.2 km is (assume π= 22⁄7 )

Answer 1

hii mate!!

In 1 rotation wheel will cover

distance=Perimeter=Pi*Diameter=(22/7)*56 cm.

So to cover total distance of 2.2 km=2.2*1000

m=2.2*1000*100 cm., wheel will rotate

(2.2*1000*100)/[(22/7)*56]

=1250 times.

hope it helps !!☺☺☺☺☺

Answer 2

Answer:

1250 times the wheel will rotate to cover a distance of 2.2 km.

Step-by-step explanation:

Given, diameter of a bicycle wheel is 56 cm.

We know, radius $= \frac{diameter}{2}$

So, radius of the bicycle wheel $= \frac{56}{2} = 28 \: cm$

A wheel covers total perimeter when complete a rotation.

Perimeter of circle $= 2\pi \: r$

where r is radius.

Here perimeter of the bicycle wheel

$= 2 \times \pi \times 28 \\ = 2 \times \frac{22}{7} \times 28 \\ = 2 \times 22 \times 4 \\ = 176 \: cm$

The cycle total cover 2.2 km.

We know,

$1 \: km = 100000 \: cm$

So,

$2.2 \: km = 2.2 \times 100000 \\ = 220000 \: cm$

So,176 cm covered by 1 rotation.

By Unitary method,

1 cm covered by $\frac{1}{176}$ rotation.

220000 cm covered by

$\frac{220000}{176} \\ = 1250 \: rotation$

Know more about perimeter,

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