Answer:
6 yards
Explanation:
To find the diameter of the prize wheel, we can use the formula for the area of a circle, which is A = πr^2, where A represents the area and r represents the radius of the circle. In this case, we are given the area of the prize wheel as 28.26 square yards. We can set up the equation: 28.26 = πr^2 To solve for r, we need to divide both sides of the equation by π: 28.26/π = r^2 To find r, we can take the square root of both sides of the equation: √(28.26/π) = r Calculating this on a calculator, we find: r ≈ 3.00 yards (rounded to two decimal places) Since the radius is half the diameter, we can multiply the radius by 2 to find the diameter: 2 * 3.00 = 6.00 yards Therefore, the prize wheel's diameter is approximately 6.00 yards.