A gear on a bicycle has the shape of a circle. One gear has a diameter of 4 inches, and a smaller one has a diameter of 2 inches. Justin says that the circumference of the larger gear is 2 inches more than the circumference of the smaller gear. Do you agree? Explain your answer.
THANK YOU!
C = pi * d
What is the circumference of each gear?
ugh i have the same question..
To determine whether Justin's statement that the circumference of the larger gear is 2 inches more than the circumference of the smaller gear is correct, we need to calculate the circumferences of both gears.
The circumference of a circle can be calculated using the formula C = π * d, where C represents the circumference and d represents the diameter of the circle.
For the larger gear with a diameter of 4 inches, the circumference can be calculated as:
C1 = π * d1 = 3.14 * 4 = 12.56 inches.
For the smaller gear with a diameter of 2 inches, the circumference can be calculated as:
C2 = π * d2 = 3.14 * 2 = 6.28 inches.
Now, let's compare the two circumferences:
C1 - C2 = 12.56 - 6.28 = 6.28 inches.
The difference in circumference between the larger and smaller gears is 6.28 inches, not 2 inches as Justin suggested.
Therefore, I do not agree with Justin's statement that the circumference of the larger gear is 2 inches more than the circumference of the smaller gear.