Math, asked by Anonymous, 9 months ago

find the distance covered by the wheel of a car in 500revoutionsif the diameter of the wheel is 77 cm

Answers

Answered by Rohit18Bhadauria
9

Given:

No. of revolutions taken by wheel= 500

Diameter of wheel= 77cm

To Find:

Distance covered by the wheel of the car

Solution:

We know that,

  • Radius= Diameter/2
  • Circumference= 2πr

where,

r is radius of wheel

So,

Radius of Wheel= \dfrac{77}{2}cm

\sf{Circumference\:of\:wheel= 2\pi r}

\sf{Circumference\:of\:wheel=\cancel{2}\times\dfrac{22}{\cancel{7}}\times \dfrac{\cancel{77}}{\cancel{2}}}

\sf{Circumference\:of\:wheel=242cm}

Now,

\sf{Distance\:covered\:by\:the\:wheel=No.\:of\:revolutions\times Circumference\:of\:wheel}

\sf{Distance\:covered\:by\:the\:wheel=500\times242}

\sf{Distance\:covered\:by\:the\:wheel=121000cm}

\sf{Distance\:covered\:by\:the\:wheel=1210m}

\sf{Distance\:covered\:by\:the\:wheel=1.21km}

Hence, distance covered by the wheel of car is 1.21 km.

Answered by ansariabuzar3662
1

Step-by-step explanation:

r=d/2

circumference=2πr

radius=77/2

circumference=2*22/7*77/2

distance=500*242

121000cm and 1.21km

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