Answer:
[tex]\approx67\text{ inch}^2[/tex]
Step-by-step explanation:
GIVEN: The pizza is round and has a radius of [tex]8\text{ inches}[/tex]. Tina only ate [tex]\frac{1}{3}[/tex] of the pizza and took home the rest of it.
TO FIND: How many square inches of the pizza did Tina eat.
SOLUTION:
radius of pizza [tex]=8\text{ inches}[/tex]
Area of circular pizza [tex]=\pi(\text{radius})^2[/tex]
putting values we get,
Area of pizza [tex]=3.14\times8^2=3.14\times64[/tex]
[tex]=200.96[/tex]
Now, Tina only ate [tex]\frac{1}{3}[/tex] of her pizza
Area of pizza ate by tina [tex]=\frac{1}{3}\times\text{area of pizza}[/tex]
[tex]=\frac{1}{3}\times200.96=66.98[/tex]
[tex]\approx67\text{ inches}^2[/tex]
Hence tina only ate [tex]67\text{ inches}^2[/tex] of pizza
