Answer:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
Then if the radius of the circle is R = 4*x^3
The area of this circle will be:
A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2
Here you need to remember that:
(a^n)^m = a^(n*m)
Then the area of the circle is:
A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6
So the monomial that represents the number of square units in the area of the circle is:
A(x) = 50.24*x^6
