Question

The diameter of a wheel cart is 280 m. How much distance will the cart cover if its wheel makes 20 complete revolutions?

Answer 1

Given:-

• Diameter of a wheel cart = 280 m

To Find:-

• Distance will the cart cover if its wheel makes 20 complete revolutions.

Formula used:-

• ${\boxed{\sf{Circumference\:of\:Circle=2\pi r}}}$

Solution:-

Firstly,

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

$\sf :\implies\:Radius = \dfrac{280}{2}$

$\sf :\implies\:Radius =140m$

Now,

Distance travelled by wheel in one revolution:-

$\sf :\implies\:Circumference\:of\:Wheel=2\pi r$

$\sf :\implies\:Circumference\:of\:Wheel=2\times \dfrac{22}{7}\times 140$

$\sf :\implies\:Circumference\:of\:Wheel=2 \times 22 \times 20$

$\sf :\implies\:Circumference\:of\:Wheel=880m$

Now,

Distance travelled by wheel in 20 revolution:-

$\sf :\implies\:880\times20$

$\sf :\implies\:17,600m$

Hence, The Cart cover 17,600m if its wheel makes 20 complete revolutions.

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