The area of the circle in the middle of the court where the opening jump ball       takes place is 113.04 square feet.  If ߨ is 3.14, what is the radius of the jump ball       circle? 

To find the radius of the jump ball circle, we can use the formula for the area of a circle:

\[ A = \pi r^2 \]

where \( A \) is the area of the circle and \( r \) is the radius. Given that the area \( A \) is 113.04 square feet and \( \pi \) is 3.14, we can substitute these values into the formula and solve for \( r \):

\[ 113.04 = 3.14 \times r^2 \]

First, we need to isolate \( r^2 \) by dividing both sides of the equation by 3.14:

\[ r^2 = \frac{113.04}{3.14} \]

\[ r^2 = 36 \]

Next, we take the square root of both sides to solve for \( r \):

\[ r = \sqrt{36} \]

\[ r = 6 \]

Therefore, the radius of the jump ball circle is 6 feet.

Would you like more details on this calculation or have any other questions? Here are some related questions to expand on this information:

1. What is the diameter of the jump ball circle?
2. How would you calculate the circumference of the jump ball circle?
3. If the radius was doubled, what would be the new area of the circle?
4. How does the area of the circle compare to the area of the entire basketball court?
5. What is the distance from the center of the jump ball circle to the edge of the circle?
6. If a player stands on the edge of the jump ball circle, how far are they from the center?
7. How much paint would be required to cover the jump ball circle if each square foot requires 0.1 liters of paint?
8. If the court is divided into two equal halves, what would be the area of one half including the jump ball circle?

### Tip:

To better understand geometry problems, always break down the problem into smaller steps and solve each step one at a time. This approach can help simplify complex calculations.

Learn how to calculate the radius of the jump ball circle in a basketball court. Given the area of the circle as 113.04 square feet and π as 3.14, find the radius using the area formula of a circle. Suitable for students in Grades 7-9.

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