To find the radius of the basketball, we use the formula for circumference (C = 2 πr) and plug in the circumference of 30 inches. Solving for r, we get r = 30/(2π) = 4.78 inches.
Next, we calculate the area of the basketball using the formula A = πr^2, plugging in the radius we found earlier. This gives us A = 3.14 × (4.78)^2 = 71.75 square inches.
To find the distance between the ball and the rim, we subtract the area of the basketball from the area of the basketball rim: 254.34 square inches - 71.75 square inches = 182.59 square inches. Therefore, the distance between the ball and the rim is 182.59 inches.
A =π (9inches) ^2 3.14 × (9^2) = 3.14× 81 = 254.34 square inches.
Calculate the radius of the basketball using the circumference. The circumference (C) of a circle is given by C = 2 πr. Since the circumference of the basketball is 30 inches, we have 2 πr = 30 inches. Solving for r gives usr = 30/(2π) = 4.78 inches
Calculate the area of the basketball:
A = π (4.78inches) ^2 = 3.14 × (4.78) ^ 2 = 3.14 × 22.85 = 71.75 square inchesCalculate the distance between the ball and the rim by subtracting the area of the basketball from the area of the basketball rim: 254.34 square inches - 71.75 square inches = 182.59 square inches. Therefore, the answer is 182.59 inches.
rewrite this in your own words showing the math steps
1 answer
6 answers