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

Which monomial represents the number of square units

kekebaby156

19.04.2021

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.

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