Ted ate 3 pieces of the pizza. what is the area of the remaining pizza if the diameter of the pizza is 18 inches?
A. 95.4 square inches
B. 381.7 square inches
C. 159.0 square inches
D. 636.2 square inches.
Answers
Answer:
C. 159.0 square inches
Step-by-step explanation:
Given that
Ted ate 3 pieces of the pizza
We need to find out the area of the remaining pizza in the case when the pizza diameter is 18 inches
Since the large circular pizza is divided into 8 equal slices
Now the radius of a pizza is
= 18 ÷ 2
= 9 inches
Now the angle subtended by each pizza is
= 360 degrees ÷ 9 inches
= 45 degrees
Now the area of the each pizza is
= [tex]\theta[/tex] ÷ 360 × πr^2
= 45 ÷ 360 × 3.14 × 9^2
= 31.7925
Now the area of the remaining pizza is
= 5 × 31.7925
= 158.9625
= 159 square inches
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