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.

Answer 2

The monomial which represents the number of square units in the area of a circle with radius 3x³ units is; 9πx⁶ square units.

The area of a circle is given in terms of its radius as follows;

• Area = π r².

However, the radius of the circle, r = 3x³ units.

• Area, A = π (3x³)²

• Area, A = π 3² x⁶

• Area, A = 9πx⁶.

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