What is the area of the following circle?

16π units² or 50.24 units²

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=πr²

We are given the diameter. We need to find the radius. The radius is half the diameter.

r=d/2

The diameter is 8 units. Substitute 8 in for d.

r=8/2

r=4

The radius is 4 units.

Now we know the radius, and can substitute it into the area formula.

a=πr²

r=4

a=π4²

Evaluate the exponent. 4² is the same as 4*4, which is equal to 16.

a=π16

a=16π

The area in terms of pi is: 16π units². If we want an exact answer, substitute 3.14 in for pi.

a=16*3.14

a=50.24

The area is: 50.24 units²

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