A large pizza has a diameter of 16 inches. Which of the following is the area of the pizza in terms of pi (π)?
16 πin2
64 πin2
32πin2
256 πin2
Correct Answer : B
We are told to find the area of the pizza given its diameter. The pizza is in circular form, and its area is found as:
However, we are not given r, which is the radius of the circle. But we can find it from the given diameter as
Substituting r=8 in the equation of the area of a circle
Thus, the area of the pizza is 64 in2.
NOTE: (Pi) remains as a symbol because values of Pi can vary from 22/7 to 3.1415 to 3.14 and so forth.
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Explanation
We are told to find the area of the pizza given its diameter. The pizza is in circular form, and its area is found as:
However, we are not given r, which is the radius of the circle. But we can find it from the given diameter as
Substituting r=8 in the equation of the area of a circle
Thus, the area of the pizza is 64 in2.
NOTE: (Pi) remains as a symbol because values of Pi can vary from 22/7 to 3.1415 to 3.14 and so forth.
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