what is the area of this circle ( express your answer by using pi)

A. A=3 pi m²

B. A=6 pi m²

C. A=9 pi m²

D. A=36 pi m²

what is the area of this circle express your answer by using pi A A3 pi m B A6 pi m C A9 pi m D A36 pi m class=

Respuesta :

Answer: option C

Step-by-step explanation:

You need to use the formula for calculate the area of a circle:

[tex]A_{(circle)}=\pi r^2[/tex]

Where the radius of the circle is "r".

You can see in the figure that the diameter of the circle is 6 meters. Then you need to find the radius of the circle with the formula:

[tex]r=\frac{d}{2}[/tex]

Where "d"  is the diameter of the circle.

Then, the radius is:

 [tex]r=\frac{6m}{2}=3m[/tex]

Finally, substitute the radius into the formula. Then, the area of the circle is:

[tex]A_{circle}=\pi (3m)^2=9\pi m^2[/tex]

ANSWER

C. A =9π m²

EXPLANATION

The area of a circle is calculated using the formula,

[tex]A=\pi \: {r}^{2} [/tex]

The given circle has diameter d=6m.

To find the radius, we need to divide the diameter by 2.

[tex]r = \frac{6}{2} = 3m[/tex]

We now substitute the given radius into formula to obtain,

[tex]A=\pi \: {(3)}^{2} [/tex]

[tex]A=9\pi \: {m}^{2} [/tex]

The correct answer is C.

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