Answer:
The area of the entire slice of pizza = 14.13 square inches
Step-by-step explanation:
From the given figure of pizza.
The radius of the pizza is 6 in.
Central angle = 45°
The pizza is in the shape of the circle. We need to find the entire slice of pizza.
Here we have to use the formula to find the area of sector of a circle.
Area of a sector of a circle = [tex]\frac{Central angle}{360} *\pi *r^2[/tex]
Now plug in central angle = 45, r = 6 in the above formula to find the area of the slice of the pizza.
The area of the entire slice of pizza = [tex]\frac{45}{360} *3.14*6^2[/tex]
The value of π = 3.14
= [tex]\frac{45}{360} *3.14*36[/tex]
Simplifying, we get
= [tex]\frac{45}{10} *3.14[/tex]
= 141.3/10
The area of the entire slice of pizza = 14.13 square inches
