The area of the circle is \(256\pi\), the diameter will be \(32\).
What is circle?
A circle is a closed \(2D\) figure in which the set of all the points in the plane are at equal distance from the given point called “center”.
What is diameter?
Diameter is defined as a straight line that goes from one side to the other of a circle, passing through the center.
Area of the circle \(=\pi r^{2}\)
We have,
Area of the circle \(=256\pi\)
Comparing it with above formula,
\(\pi r^{2} = 256\pi\)
\(r^{2} =256\)
\(r=16\)
We have,
Diameter is two times of radius.
So,
Diameter \(=2*16=32\)
Hence, we can say that the Diameter of the circle is \(32.\)
To know more about Circle click here
https://brainly.com/question/11833983
#SPJ2
