Answer:
[tex]37.68[/tex] square inches
Step-by-step explanation:
Given:
A pie company arranges its three-flavor cheesecake sampler into equal-sized slices: S represents strawberry, C represents chocolate, and P represents plain.
Diameter of the pie = 12 inches
To find: total area of the strawberry portion in the pie
Solution:
Diameter of the pie = 12 inches
Radius of the pie (r) = Diameter / 2 = [tex]\frac{12}{2}=6[/tex] inches
Area of the pie = [tex]\pi r^2=3.14(6)^2=113.04[/tex] square inches
Ratio of the strawberry portion in the pie = [tex]\frac{2}{6}=\frac{1}{3}[/tex]
Therefore,
total area of the strawberry portion in the pie = [tex]\frac{1}{3}(113.04)=37.68[/tex] square inches
