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Answers
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.