Question

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Answer 1

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}}}}}

CircumferenceofCircle=2πr

where,

r = Radius

Solution :-

First, we have to find the radius,

As, we know that,

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

2

Diameter

★

Then,

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

2

1.4

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

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 0.7Circumference=2×

7

22

×0.7

⇒ \sf Circumference\: =\: \dfrac{44}{7} \timesCircumference=

7

44

×

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

7

44

×

10

7

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

10

44

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

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}

4.4

2200

↪ \sf \dfrac{2200 \times 10}{44}

44

2200×10

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

44

22000

➤ \sf\bold{\green{500}}500

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