The center of mass of a slice of pizza can be found by taking the average of the x and y coordinates of the center of each slice.
The center of mass of a slice of pizza can be found by taking the average of the x and y coordinates of the center of each slice.
The angle between each slice α = 360°/8
The angle between each slice α =45°
The diameter of the pizza is given, so the radius (R) is half of the diameter:
R = 12 / 2
R = 6 inches.
The x coordinate of the center of mass can be found using the formula:
Xcm = -R/π * (cos(α/2) + cos(3α/2) + cos(5α/2) + cos(7α/2)),
where R is the radius of the pizza and α is the angle between each slice.
The y coordinate of the center of mass can be found using the formula:
Ycm = R/π * (sin(α/2) + sin(3α/2) + sin(5α/2) + sin(7α/2)).
Therefore, the center of mass can be calculated as Xcm = -1.5 in and Ycm = -1.5 in.