Question
a wheel has a diameter of 14 inches. about how many inches does it travel after 2 revolutions?
Answers
GPT-4o mini
To find out how far a wheel travels after a certain number of revolutions, you first need to calculate the circumference of the wheel. The circumference \( C \) of a circle is given by the formula:
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle.
Given that the diameter of the wheel is 14 inches, we can calculate the circumference:
\[
C = \pi \times 14 \approx 3.14 \times 14 \approx 43.96 \text{ inches}
\]
Now, to find the distance traveled after 2 revolutions, you multiply the circumference by the number of revolutions:
\[
\text{Distance} = C \times \text{Number of Revolutions}
\]
\[
\text{Distance} = 43.96 \text{ inches} \times 2 \approx 87.92 \text{ inches}
\]
Thus, after 2 revolutions, the wheel travels approximately **87.92 inches**.
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle.
Given that the diameter of the wheel is 14 inches, we can calculate the circumference:
\[
C = \pi \times 14 \approx 3.14 \times 14 \approx 43.96 \text{ inches}
\]
Now, to find the distance traveled after 2 revolutions, you multiply the circumference by the number of revolutions:
\[
\text{Distance} = C \times \text{Number of Revolutions}
\]
\[
\text{Distance} = 43.96 \text{ inches} \times 2 \approx 87.92 \text{ inches}
\]
Thus, after 2 revolutions, the wheel travels approximately **87.92 inches**.