The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show the steps of your work in your own words.
To find the distance between the ball and the rim in a shot where the ball goes exactly in the center of the rim, we need to calculate the radius of the rim and the radius of the ball.
Given the diameter of the rim is 18 inches, we can find the radius by dividing the diameter by 2:
Radius of rim = 18 inches / 2 = 9 inches
Given the circumference of the ball is 30 inches, we can find the radius of the ball by dividing the circumference by 2π:
Radius of ball = 30 inches / (2 * 3.14) ≈ 4.77 inches
Now, the distance between the center of the ball and the center of the rim in this shot would be:
Distance = Radius of rim - Radius of ball
Distance = 9 inches - 4.77 inches ≈ 4.23 inches
Therefore, the distance between the ball and the rim when the ball goes exactly in the center is approximately 4.23 inches.