Answer:
31.79 in^2
Step-by-step explanation:
area of sector =(angle of sector/360)3.14 r^2
eight equal pieces will give an angle of 45°
45/360 = 1/8
3.14*(1/8)×81 = 31.79 in^2
The area of a single slice of pizza that has an 18 in. diameter is 31.8 in².
Given to us
Diameter of the pizza, d = 18 inches,
Number of slices of pizza = 8
The shape of the pizza is a circle, therefore, the area of the pizza in the area of the circle,
[tex]\text{Area of the pizza} = \dfrac{\pi}{4}d^2[/tex]
Substitute the value of the diameter,
[tex]\text{Area of the pizza} = \dfrac{\pi}{4}(18)^2[/tex]
[tex]\text{Area of the pizza} = 254.469\rm\ in^2[/tex]
Thus, the total area of the pizza is 254.469 in².
The area of each slice of pizza can be given as the,
[tex]\text{Area of a slice} = \dfrac{\text{Total area of the pizza}}{\text{Number of pizza slice}}[/tex]
[tex]\text{Area of a slice} = \dfrac{254.469}{8} = 31.8\rm\ in^2[/tex]
Hence, the area of a single slice of pizza that has an 18 in. diameter is 31.8 in².
Learn more about Circle:
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