3.
Problem:
"For Thanksgiving dessert, Mrs. Zappone and her seven family members baked an incredible homemade apple pie. Eight equal slices (sectors) of the round pie are cut and one piece is distributed to each person at dinner. After this is done, there is exactly 1/3 of the pie left. How many degrees are in the central angle of each person’s slice of pie?"
geometry, not geography
This was done for you recently
the pie was cut into 12 pieces, so each piece's central angle is 360/12 = 30°
To determine the number of degrees in each person's slice of pie, we need to find the total number of degrees in the whole pie and divide it by the number of slices.
Let's start by calculating the total number of degrees in a full circle, which is 360 degrees. Since the whole pie represents a circle, the total number of degrees in the pie is also 360 degrees.
Next, we need to find the number of slices. The problem states that the pie is divided into eight equal slices, with one slice given to each person at dinner.
To find the number of degrees in each slice, we divide the total number of degrees in the pie (360 degrees) by the number of slices (8).
360 degrees ÷ 8 slices = 45 degrees
Therefore, each person's slice of pie has an angle of 45 degrees.