Question

A boy rolled a ring whose radius was 63 cm to another boy. If the ring made 162 revolutions, what was the distance between the two boys? (Give your answer in meters.)​

Answer 1

To find the distance between the two boys, we calculate the circumference of the ring and then multiply it by the number of revolutions. We then convert the distance from centimeters to meters.

Step-by-step explanation:

To find the distance between the two boys, we first need to determine the circumference of the ring. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Plugging in the given radius of 63 cm, we get C = 2π(63) = 126π cm.

Next, we need to calculate the distance traveled by the ring, which is equal to the circumference times the number of revolutions. So, the distance is given by 126π cm * 162 = 20412π cm.

In order to convert this distance from centimeters to meters, we divide it by 100 (since there are 100 centimeters in a meter). Therefore, the distance between the two boys is 204.12π meters.