Question

The radius of a circle is (x-6) feet. Find the area of the circle and write your answer as a polynomial in terms of n and variable x. Enter the polynomial in standard form, ax² + bx+ c.

Answer 1

The area of a circle is given by:

`\begin{gathered} A=\pi r^2 \\ \text{where:} \\ r=radius=x-6_{} \\ A=\pi(x-6)^2 \\ \text{Expand the right hand side of the equation:} \\ A=\pi(x^2-12x+36) \\ A=\pi x^2-12\pi x+36\pi \end{gathered}`