Question

The diameter of a cycle wheel is 1.4 m. Find the distance covered by the cycle in making 300 revolutions by its wheels (Take $\pi = \dfrac{22}{7}$ )​

Answer 1

$\underline{ \underline{ \sf \red{Question}}} \red:$

The diameter of a cycle wheel is 1.4 m. Find the distance covered by the cycle in making 300 revolutions by its wheels (Take $\pi = \dfrac{22}{7}$ )

$\underline{ \underline{ \sf \red{Answer}}} \red:$

$\rm{Radius \: of \: the \: wheel \: = \bigg( \dfrac{1}{2} \times 1.4 \bigg)m}$

$\implies \rm r = \bigg( \dfrac{1}{2} \times 1.4 \times 100 \bigg)cm$

$\implies \rm r = 70 \: cm$

$\rm Circumference \: of \: the \: wheel \: = 2 \pi r = \bigg(2 \times \dfrac{22}{7} \times 70 \bigg) \: cm$

$\implies \rm circumference \: = 440 \: cm$

$\rm Distance \: covered \: by \: the \: wheel \: in \: 1 \: revolution \: = 440 \: cm$

$\rm Distance \: covered \: by \: the \: wheel \: in \: 300 \: revolutions \: = \bigg( \dfrac{400 \times 300}{100} \bigg)m$

$\implies \rm 1320 \: m$

$\therefore \rm Distance \: covered \: by \: the \: cycle \: = 1320 \: m$

Answer 2

AnswEr-:

• $\boxed {\dag{\mathrm {Distance \:Covered \:in\:making\:300\:Revolution \:by \:it's \:wheel\:=1.32 km \:or\:1320\:m }} }$

Explanation-:

$\mathrm { Given-:}$

• The diameter of a cycle wheel is 1.4 m.

• The cycle has has maked 300 revolutions.

$\mathrm { To\:Find-:}$

• Distance covered by wheel of Cycle in making  300 Revolution.

Solution of the Question-:

• $\dag{\mathrm { Radius-:\dfrac{Diameter}{2}}}$

Here ,

• The diameter of a cycle wheel is 1.4 m.

Now by putting known Values,

• $\longrightarrow{\mathrm { Radius-:\dfrac{1.4}{2}}}$

• $\longrightarrow{\mathrm { Radius-:0.7 m}}$

Therefore,

• $\boxed{\mathrm { Radius_{(Circle)}-:0.7 m}}$

As , We know that ,

• $\underline{\boxed{\dag{\red{Circumference \:of \:Circle\:-:\: 2\times \pi  \times Radius }}}}$

Here ,

• Radius of Circle = 0.7 m

• $\pi = \dfrac{22}{7}$

Now By Putting known Values ,

• $\longrightarrow{\mathrm {Circumference_{Circle} =2 \times  \dfrac{22}{7} \times  0.7}}$

• $\longrightarrow{\mathrm {Circumference_{Circle} =2 \times  \dfrac{22}{\cancel {7}} \times \cancel {0.7} }}$

• $\longrightarrow{\mathrm {Circumference_{Circle} =2 \times  22 \times 0.1   }}$

• $\longrightarrow{\mathrm {Circumference_{Circle} =44  \times 0.1   }}$

• $\longrightarrow{\mathrm {Circumference_{Circle} =4.4 m  }}$

Therefore,

• $\boxed{\mathrm {Circumference_{Circle} =4.4 m  }}$

As , We know that ,

• Distance  covered in one Revolution = Circumference of the wheel of Cycle.

Then ,

• Distance covered in one Revolution of the wheel of cycle = Circumference of Wheel = 4.4 m

Therefore,

• Distance covered in 300 revolution-:

• $\longrightarrow {\mathrm { 300 \times 4.4 } }$

• $\longrightarrow {\mathrm { 1320 m }}$

As , We know that ,

• [ 1 km = 1000 m]

Then ,

• $\longrightarrow {\mathrm { \dfrac{1320}{1000}  } }$

• $\longrightarrow {\mathrm { 1.32 km \:or\:1320\:m } }$

Hence ,

• $\boxed {\dag{\mathrm {Distance \:Covered \:in\:making\:300\:Revolution \:by \:it's \:wheel\:=1.32 km \:or\:1320\:m }} }$

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