Question

the diameter of the wheel of a cart is 140 cm how much distance will the card cover if its wheel makes 40 complete revolutions

Answer 1

Answer:

This is the answer of your question

Answer 2

Given:-

• Diameter of a wheel cart = 140 m

To Find:-

• Distance will the cart cover if its wheel makes 40 complete revolutions.

Formula used:-

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

• ${\boxed{\bf{Radius = \dfrac{Diameter}{2}}}}$

Solution:-

Firstly,

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

$\bf :\implies\:Radius = \dfrac{140}{2}$

$\bf :\implies\:Radius =70m$

Now,

Distance travelled by wheel in one revolution:-

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

$\bf :\implies\:Circumference\:of\:Wheel=2\times \dfrac{22}{7}\times 70$

$\bf :\implies\:Circumference\:of\:Wheel=2 \times 22 \times 10$

$\bf :\implies\:Circumference\:of\:Wheel=440m$

Now,

Distance travelled by wheel in 40 revolution:-

$\bf :\implies\:440\times40$

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

Hence, The Cart cover 17,600m if its wheel makes 40 complete revolutions.

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