D=16m

Calculate the area of the circle shown. Leave your answer in terms of pi.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

Given that the diameter of the circle is 16m, the radius (r) is half of the diameter, so r = 16m / 2 = 8m.

Now we can calculate the area using the formula:
A = π(8m)^2
A = π(64m^2)
A = 64π m^2

Therefore, the area of the circle is 64π square meters.