The pizza has an angle of 360°. If each slice has a central angle of π/3 = 60° then the number of slices = [tex]\frac{thetotalangleofthepizza}{theangleofoneslice}[/tex] = [tex]\frac{360}{60}[/tex] = 6 slices. So the pizza has 6 slices.
To calculate one slice's area, we calculate the the entire pizza's area and divide it by 6 (number of slices).
The circle's area is given by multiplying π with the square of its radius (r²). If the diameter is 10 inches, the radius is half i.e. the radius = 5 inches.
The area of the pizza = π × 5 × 5 = 78.5398 inch². The area of the slice = [tex]\frac{78.5398}{6}[/tex] = 13.0899 inch².
