Question

the radius of the front wheel of monica's bicycle is 1 foot. About how far has Monica traveled after the wheel has made 100 revolutions

Answer 1

6280 feet

Explanation:

• Radius of Monica's bicycle = 1 foot
• circumference for any circle is calculated by formula
  `2\pi r` where r is the radius of the circle.
• we will use numerical value of pi as 3.14

when any circular object makes one complete revolution, distance covered by that object is same as the circumference of the circular object .

Other way to explain this if one makes cut at a point on the edge of circle and straighten it from end to end then it will a straight line of the length as that of circumference.

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based on above discussion the distance covered in one revolution

= circumference of front wheel of Monica's bicycle

=
`2 \pi r= 2*3.14*1= 6.28`

distance covered in one revolution by bicycle is 6.28 feet.

wheel made 1000 such revolution hence distance covered in 1000 revolution will be 1000 time distance covered in one revolution

= 1000 * 6.28 = 6280

Monica has traveled 6280 feet after the wheel has made 100 revolutions.