To solve this problem, we will visit the area of a circle formula and supply known values, such as the radius, to answer the question.
<h3>Define</h3>
To find the area of a circle given its radius, use the formula:
![A = \pi r ^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%20%5E2)
where
is the radius of the circle and A is the area.
<h3>Substitute</h3>
Substitute the known value for the radius in the formula.
![A = \pi(12)^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%2812%29%5E2)
<h3>Simplify</h3>
To simplify, use BPEMDAS, which evaluates in the proper Order of Operations:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Use BPEMDAS:
![A=\pi(144)](https://tex.z-dn.net/?f=A%3D%5Cpi%28144%29)
Simplify by rearranging the coefficient in front of the variable:
![A=144\pi](https://tex.z-dn.net/?f=A%3D144%5Cpi)
As this is an area, our final result must be squared:
![A=144\pi \text{ square units}](https://tex.z-dn.net/?f=A%3D144%5Cpi%20%5Ctext%7B%20square%20units%7D)
The final answer to this problem is
square units. The answer can also be represented in a non-exact (approximate) format, which is solved below.
<h3>Approximate Format</h3>
To get the non-exact format of this answer, instead of leaving
in the final answer, multiply it by the leading coefficient.
![A = 144\times\pi](https://tex.z-dn.net/?f=A%20%3D%20144%5Ctimes%5Cpi)
![A= 452.38934211 ...](https://tex.z-dn.net/?f=A%3D%20452.38934211%20...)
Simplify to the one-hundredths place:
For final answers:
![\bold{Exact}: \ \boxed{A=144\pi \ \text{square units}}](https://tex.z-dn.net/?f=%5Cbold%7BExact%7D%3A%20%5C%20%5Cboxed%7BA%3D144%5Cpi%20%5C%20%5Ctext%7Bsquare%20units%7D%7D)
![\bold{Approximate}: \ \boxed{A = 452.39 \ \text{square units}}](https://tex.z-dn.net/?f=%5Cbold%7BApproximate%7D%3A%20%5C%20%5Cboxed%7BA%20%3D%20452.39%20%5C%20%5Ctext%7Bsquare%20units%7D%7D)
To learn more about how to find the area of a circle given the radius, visit this helpful link:
brainly.com/question/19891555