Answer:
16π units² or 50.24 units²
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