Question

Marshall measures a prize wheel at a carnival and calculates that it has a circumference of

6.28 feet. What is the prize wheel's radius?

Answer 1

To find the radius of a prize wheel with a circumference of 6.28 feet, divide the circumference by 2π (6.28/6.28), resulting in a radius of 1 foot.

Step-by-step explanation:

The student provided a circumference of a prize wheel and asked for the radius. The formula to relate the circumference (C) to the radius (r) of a circle is C = 2πr, where π is approximately 3.14. Given that the circumference is 6.28 feet, we can use this formula to find the radius.

Starting with the formula:

• C = 2πr

We substitute the given circumference to solve for r:

• 6.28 = 2πr

Dividing both sides by 2π:

• r = 6.28 / (2π)
• r = 6.28 / (2 * 3.14)
• r = 6.28 / 6.28
• r = 1

The prize wheel's radius is 1 foot.