A circular rug has a radius of (4x-6)(4x6). What is the area of the rug?

1 Answer
Jan 28, 2017

A=16pix^2-48pix+36piA=16πx248πx+36π

Explanation:

Remember the area of a circle's formula is
A=pir^2A=πr2

In this case r=(4x-6) => r^2=(4x-6)^2=(4x-6)(4x-6)r=(4x6)r2=(4x6)2=(4x6)(4x6)

Then using FOIL we get

r^2=(4x-6)^2=16x^2-48x+36r2=(4x6)2=16x248x+36

Then the area of the rug AA is

A=pir^2=16pix^2-48pix+36piA=πr2=16πx248πx+36π