Question

Which monomial represents the number of square units in the area of a circle with radius 3x 3 units?

Answer 1

Answer:

9$\pi$$x^{4}$

Step-by-step explanation:

A monomial is an algebraic expression with one term.

So that,

area of a circle = $\pi$$r^{2}$

if r = 3$x^{2}$, then;

area of the circle = $\pi$ x $(3x^{2} )^{2}$

                            = $\pi$ x 9$x^{4}$

                            = 9$\pi$$x^{4}$

The area of the circle is 9$\pi$$x^{4}$ square units.

Therefore, the monomial the represent the number of square units in the area of the circle is 9$\pi$$x^{4}$ square units.