Answer:
16π (option C)
Step-by-step explanation:
So, the diameter of a circle is the length from one side of the circle to the other. (You can think of this as the width of a circle)
When measuring the area of a circle, we calculate using a circle's radius.
The radius of a circle is the distance between the center point of a circle to the outside/border/edge of a circle.
Consider what we know about diameter and radius--the radius is simply half of the diameter.
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The area of a circle is [tex]\pi r^{2}[/tex]
[tex]\pi[/tex] is called "pi", which is a mathematical constant of the ratio of a circle's circumference to the diameter of a circle.
(the circumference of a circle always has a ratio of about 3.14159... , which is what we call π / pi)
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So, if the diameter is 8cm, we know that the radius is 4cm, meaning we are able to plug our radius into the formula for the area of a circle (πr²)
if r = 4
area = πr²
area = π · [4]²
area = π · 16
area = 16π
(think of π as a variable, you would put 16v instead of v16, so you put _π instead of π_)
So, the area of this circle, in square centimeters, is 16π
