What is the area of the circle with a diameter of 16?

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8π

16π

64π

256π

answer is C.

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Detailed Solution

Concept-
Using the formula for the area of the circle given its radius measurement, we may determine a circle's surface area. We utilise the diameter of the circle's measurement, which is provided in the question, to determine the radius of the circle. We discover the solution using this data.
Assuming Data,
The circle's diameter is 16 units.
We are aware that the formula A =

, where r is the circle's radius, determines the area of a circle.
Given by D = 2r, we know that a circle's diameter is twice its radius.
Given that the circle's diameter is 16,
Consequently, the circle's radius is determined by

https://lh3.googleusercontent.com/m6jt5GTVfN5nfN6YL36xgGFFXpst64LNcaIaqp6rMXnKhsmR0ai3mgje4HY7dOoE3OUHbK3n4b7aE9s1EWZfxBmnp7Jdcm9_bQZCfriygamB2_t5KDAb2Ce3PsJvjVWAmfcoA9AUPj9I7vNJSn1iyg

Hence, the correct answer is 3) 64π

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