Question

tuan has a robot with small wheels, each measuring 7 inches in diameter. during a robotics competition, each wheel completes 200 full rotations. what distance did the robot travel? round your answer to the nearest inch. enter your answer in the box. inches

Explanation:

Step1: Calculate the circumference of the wheel

The formula for the circumference of a circle is $C = \pi d$, where $d$ is the diameter. Given $d = 7$ inches, so $C=\pi\times7 = 7\pi$ inches.

Step2: Calculate the total distance traveled

The wheel makes 200 full - rotations. The total distance $D$ is the number of rotations times the circumference of the wheel. So $D = 200\times C=200\times7\pi$ inches.
$D = 1400\pi\approx1400\times 3.14159 = 4398.226$ inches.
Rounding to the nearest inch, $D\approx4398$ inches.

Answer:

4398