three right angles have vertices at the center of the circle .if the radius of the circle is 8,what is the combined area of the shaded region?

no drawing here

To find the combined area of the shaded region, we need to calculate the area of the circle and subtract the areas of the three right angles.

1. Start by finding the area of the circle:
- The formula for the area of a circle is: A = π * r^2, where A is the area and r is the radius.
- Given that the radius of the circle is 8, substitute this value into the formula: A = π * 8^2.

2. Calculate the area of the circle:
- Using the value of π as approximately 3.14, the formula becomes A = 3.14 * 8^2.
- Simplifying the equation, A = 3.14 * 64 = 200.96.

3. Next, determine the area of one right angle:
- Since a right angle is a square, the area formula is A = side^2.
- Given that the radius of the circle is 8, the side length of the right angle is also 8.
- Thus, the area of one right angle is A = 8^2 = 64.

4. Calculate the area of all three right angles:
- Since there are three right angles, their combined area is 3 * 64 = 192.

5. Find the combined area of the shaded region:
- Subtract the area of the right angles from the area of the circle: 200.96 - 192 = 8.96.

Therefore, the combined area of the shaded region is approximately 8.96 square units.