Question

A radius of a wheel of a cycle is 35 cm. How far will it go in 480 complete revolutions?

Answer 1

Answer :-

1056m

Explanation :-

Given :

Radius of the wheel = 35cm

To Find :

How far will it go in 480 complete.

Solution :

We know,perimeter is the distance around the outside of a shape and area is the measure of the space inside a shape.

Therefore,we will find the circumference or we can say perimeter of the circle which is wheel,after finding the distance covered by 1 revolution,we will find the distance of the given revolution.

Radius,r => 35cm

Curcumfrence of the circle => 2πr

$\sf{}\implies\bigg( 2\times \dfrac{22}{7}\times 35\bigg)cm$

$\sf{}\implies\bigg( 2\times \dfrac{22}{1}\times 5\bigg)cm$

$\sf{}\implies 220cm$

[1cm = 1/100m]

$\sf{}\implies \bigg(\dfrac{220}{100}\bigg)m$

$\sf{}\implies \dfrac{11}{5}m$

Distance covered by the wheel in 1 revolution

$\sf{}\implies \dfrac{11}{5}m$

Hence,distance covered by the wheel in 480 revolution

$\sf{} \implies \dfrac{11}{5}m \times 480$

$\sf{}\therefore 1056m$

Answer 2

$\mathfrak{\underline{\pink{Given :-}}}$

• Radius of the wheel = 35cm.

$\mathfrak{\underline{\red{To\:Find :-}}}$

• How far will it go in 480 complete.

$\mathfrak{\underline{\blue{Solution:-}}}$

We know,

$\longrightarrow \underline{ \pink{circumference\: of \:the \:circle = 2πr}}$

$\sf :\implies\bigg( 2\times \dfrac{22}{7}\times 35\bigg)</p><p>[tex]$

$\sf :\implies\bigg( 2\times \dfrac{22}{1}\times 5\bigg)cm$

$\sf :\implies 220cm$

[Since 1cm = 1/100m]

$\sf :\implies \bigg(\dfrac{220}{100}\bigg)$

$\sf :\implies \dfrac{11}{5}m$

Distance covered by the wheel in 1 revolution:-

$\sf{}\implies \dfrac{11}{5}$

Therefore,distance covered by the wheel in 480 revolution will be :

$\sf{} \implies \dfrac{11}{5}m \times 480$

$\sf \therefore \boxed{\underline{\pink{Ans \: is \:1056m}}}$

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