Question

Which of the following expression represents the area of the circle?

O 2π(x+2)
O π(x+2)^2
O π(2x+4)^2
O 2π(2x+4)​

Answer 1

π(x+2)^2

Explanation:

The formula for the area of a circle is π*radius squared.

2x + 4 is the length across the entire circle, which would make it the diameter.

The radius is half the diameter.

So, to find out the radius, simply divide the diameter by 2.

2x+4/2

x+2

Now, plug the newly found radius into the formula.

Area=π*(x+2)^2