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

Radius of Monica's bicycle = 1 foot
circumference for any circle is calculated by formula [tex]2\pi r[/tex] 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

= [tex]2 \pi r= 2*3.14*1= 6.28[/tex]

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.