a gear on a bicycle has the shape of a circle one gear has a diameter of 4 inches and a small one has a diameter of 2 inches Justin says that the circumferences of the larger gear is 2 inches more than the circumferences of the smaller gear do you agree explain your answer
disagree, C=PI*r, so the difference is PI
To determine if Justin's statement is correct, we need to compare the circumferences of the two gears.
The circumference of a circle can be calculated using the formula: circumference = π * diameter.
Let's calculate the circumferences of the two gears:
For the larger gear:
Circumference of the larger gear = π * diameter of the larger gear
= π * 4 inches
For the smaller gear:
Circumference of the smaller gear = π * diameter of the smaller gear
= π * 2 inches
Now, let's compare the two circumferences:
Circumference of the larger gear - Circumference of the smaller gear = (π * 4 inches) - (π * 2 inches)
= 2π inches
Since 2π (approximately 6.28) is greater than 2, we can conclude that the circumference of the larger gear is more than 2 inches greater than the circumference of the smaller gear. Therefore, Justin's statement is correct.