Question

1. a figure skater prepares for her performance by skating 6 laps in a circular ice rink. if the distance between the skater and the center of the rink is 30 feet, how many feet did the figure skater travel to warm up?

Explanation:

Step1: Find the circumference of the circular rink

The formula for the circumference of a circle is \( C = 2\pi r \), where \( r \) is the radius. Given \( r = 30 \) feet, we substitute into the formula:
\( C = 2\pi(30) = 60\pi \) feet.

Step2: Calculate the total distance for 6 laps

The skater skates 6 laps, so we multiply the circumference by 6:
Total distance \( = 6 \times 60\pi = 360\pi \) feet.
If we use \( \pi \approx 3.14 \), then \( 360\pi \approx 360\times3.14 = 1130.4 \) feet.

Answer:

The figure skater traveled \( 360\pi \) (or approximately 1130.4) feet.