A circle has a diameter of 26 units. What is the area of the circle to the nearest hundreths of the square units?

A = 530.66 units^2

Step-by-step explanation:

Area of a circle is given by

A = pi * r^2

The radius is 1/2 of the diameter

r = d/2

r = 26/2

r = 13

Now we can find the area

A = pi * (13) ^2

A = 169 pi

We can approximate pi by 3.14

A = 169 (3.14)

A = 530.66

The answer is 2122.64 square units. The diameter is 2 times the radius, so the radius is 13. The formula for he area of a circle is 4 pi times the radius squared. 13 squared is 169, times 4 is 676. Using 3.14 for pi, multiply that by 676 and you get 2122.64 square units.