Question

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

Answer 1

Answer: option C

Explanation:

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

`A_((circle))=\pi r^2`

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:

`r=(d)/(2)`

Where "d" is the diameter of the circle.

Then, the radius is:

`r=(6m)/(2)=3m`

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

`A_(circle)=\pi (3m)^2=9\pi m^2`

Answer 2

C. A =9π m²

EXPLANATION

The area of a circle is calculated using the formula,

`A=\pi \: {r}^(2)`

The given circle has diameter d=6m.

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

`r = (6)/(2) = 3m`

We now substitute the given radius into formula to obtain,

`A=\pi \: {(3)}^(2)`

`A=9\pi \: {m}^(2)`

The correct answer is C.