Math, asked by PrOpOsEdAy8282, 3 months ago

0.15. The diameter of the wheel of a vehicle is 1.4 m. How many rotations will the wheel complete
in travelling a distance of 2.2 km?

Answers

Answered by Anonymous
6

Answer:

Answer:

Given :-

The diameter of the wheel of a vehicle is 1.4 m.

To Find :-

How many rotations will the wheel complete in traveling a distance of 2.2 km.

Formula Used :-

{\red{\boxed{\large{\bold{Circumference\: of\: Circle\: =\: 2{\pi}r}}}}}

where,

r = Radius

Solution :-

First, we have to find the radius,

As, we know that,

\sf Radius =\: \dfrac{Diameter}{2}

Then,

\sf Radius =\: \dfrac{1.4}{2}

\sf\bold{\pink{Radius =\: 0.7\: m}}

Now, we have to find circumference of a circle,

Given :

Radius = 0.7 m

According to the question by using the formula we get,

\sf Circumference\: =\: 2 \times \dfrac{22}{7} \times 0.7

\sf Circumference\: =\: \dfrac{44}{7} \times

\sf Circumference =\: \dfrac{44}{\cancel{7}} \times \dfrac{\cancel{7}}{10}

\sf Circumference =\: \dfrac{44}{10}

\sf\bold{\purple{Circumference =\: 4.4\: m}}

Hence, the circumference of a circle is 4.4 m.

Now, we have to find how many rotations will the wheel complete in traveling a distance of 2.2 m,

As we know that,

✧ 1 kilometres = 1000 m ✧

Then, 2.2 km = 2.2 × 1000

\implies 2200 m

Hence, number of rotation will be,

\sf \dfrac{2200}{4.4}

\sf \dfrac{2200 \times 10}{44}

\sf \dfrac{\cancel{22000}}{\cancel{44}}

\sf\bold{\green{500}}

\therefore 500 rotations will the wheel complete in traveling a distance of 2.2 m.

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