What is the area of a circle with a diameter of 4x - 24? Specifically what steps would you take?

12.56x^2+452.16

Step-by-step explanation:

A=pie r^2

(4x-24) / 2 = 2x-12 which is your radius

(2x-12) ^2=4x^2+144

Pie=3.14ish

3.14 (4x^2+144)

12.56x^2+452.16

Step-by-step explanation:

The formula for the area of a circle is

A = πr². We need the radius, r, to calculate the circle.

If the diameter of the circle is 4x - 24, then the radius is half that, or

2x - 12.

Then the area of the circle in question is A = πr², or

A = π (2x - 12) ²

If desired, this could be expanded:

A = π (4) (x - 6) ² = 4π (x^2 - 12x + 36)