Question

A circle has an area of 256pi. What is the diameter of the circle?

Answer 1

Circle Area = PI*r^2
Circle Area = PI * 256
radius = sq root(256)
radius = 16
diameter = 32

Answer 2

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 $32.$

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