Find the area of a circle with a radius of 3.

Either enter an exact answer in terms of [tex]\pi[/tex] or use 3.14 for [tex]\pi[/tex] and enter your answer as a decimal.

[tex]\square[/tex]



Answer :

To find the area of a circle with a radius of 3, we use the formula for the area of a circle:

[tex]\[ \text{Area} = \pi \times r^2 \][/tex]

In this formula, [tex]\( r \)[/tex] is the radius of the circle. Given that the radius [tex]\( r = 3 \)[/tex], we substitute this value into the formula. Additionally, we are instructed to use [tex]\( \pi = 3.14 \)[/tex] for the calculation.

[tex]\[ \text{Area} = 3.14 \times 3^2 \][/tex]

First, we need to calculate [tex]\( 3^2 \)[/tex]:

[tex]\[ 3^2 = 3 \times 3 = 9 \][/tex]

Next, we multiply this result by [tex]\( 3.14 \)[/tex] to find the area:

[tex]\[ \text{Area} = 3.14 \times 9 \][/tex]

Now, we perform the multiplication:

[tex]\[ 3.14 \times 9 = 28.26 \][/tex]

So, the final area of the circle is:

[tex]\[ \boxed{28.26} \][/tex]