Question

If a pie is cut into 8 congruent slices, do we have enough information for the central angle of one slice?

What are the missing variables?

Answer 1

The central angle of one slice when a pie is cut into 8 congruent slices is 45 degrees, calculated by dividing the full angle of a circle, 360 degrees, by the number of slices.

Step-by-step explanation:

When a pie is cut into 8 congruent slices, we have enough information to calculate the central angle of one slice. Here is how you can determine it:

1. Understand that a full circle (or pie) measures 360 degrees.
2. Since the pie is divided into 8 equal slices, divide the total angle of the circle by the number of slices.
3. Perform the calculation: 360 degrees ÷ 8 slices = 45 degrees per slice. So, the central angle of one slice is 45 degrees.

No additional variables are needed for this calculation as the division of the pie into 8 congruent slices gives us the required symmetry to determine the central angle.