Answer:
Diameter ≈ 20.87 inches
Step-by-step explanation:
The formula for the circumference of a circle is C = πd, where d is the diameter.
To find the diameter (d) of the basketball hoop, substitute the circumference C = 65.52 in and π = 3.14 into the circumference formula, and solve for d:
[tex]65.52 = 3.14 \cdot d\\\\\\d=\dfrac{65.52}{3.14}\\\\\\d=20.8662420382...\\\\\\d\approx 20.87\; \sf in \;(nearest\;hundredth)[/tex]
Therefore, the diameter of the basketball hoop is approximately 20.87 inches.
As the diameter of a basketball is about 9.55 in, and 9.55 in is less than 20.87 in, the ball can easily fit through the hoop.
