Question

Avi's pet hamster chubby loves to run in his hamster wheel. during one "race", avi counts \[100\] rotations of the wheel. she wants to know how far chubby ran, so she measures the diameter of the wheel and finds that it is \[20 \text{ cm}\]. how far did chubby run? round your answer to the nearest \[\text{cm}\].

Answer 1

To find the distance Chubby the hamster ran, we calculate the wheel's circumference using the formula C = \(\pi d\) with a diameter of 20 cm. Multiply the circumference by 100 rotations to get 6283 cm. Therefore, Chubby ran approximately 6283 cm.

Step-by-step explanation:

The student wants to know how far Avi's pet hamster Chubby ran on a wheel with a diameter of 20 cm after counting 100 rotations.

To find the distance Chubby ran, we can calculate the circumference of the wheel and then multiply that by the number of rotations. The formula to find the circumference (C) of a circle is C = \(\pi d\), where \(d\) is the diameter of the wheel.

First, calculate the circumference:

• Circumference = \(\pi \times 20\ cm\)
• Circumference = \(62.83\ cm\) (rounded to two decimal places)

Next, multiply the circumference by the number of rotations to find the total distance:

• Total Distance = Circumference \(\times\) Number of Rotations
• Total Distance = \(62.83\ cm\) \(\times\) 100
• Total Distance = \(6283\ cm\)

Therefore, Chubby ran approximately 6283 cm during the 100 rotations. To round to the nearest centimeter as requested, Chubby ran 6283 cm.