Question

If a circle has a radius of 12 units what is its area?

Answer 1

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.

Define

To find the area of a circle given its radius, use the formula:

$A = \pi r ^2$

where $r$ is the radius of the circle and A is the area.

Substitute

Substitute the known value for the radius in the formula.

$A = \pi(12)^2$

Simplify

To simplify, use BPEMDAS, which evaluates in the proper Order of Operations:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Use BPEMDAS:

$A=\pi(144)$

Simplify by rearranging the coefficient in front of the variable:

$A=144\pi$

As this is an area, our final result must be squared:

$A=144\pi \text{ square units}$

The final answer to this problem is $A=144\pi$ square units. The answer can also be represented in a non-exact (approximate) format, which is solved below.

Approximate Format

To get the non-exact format of this answer, instead of leaving $\pi$ in the final answer, multiply it by the leading coefficient.

$A = 144\times\pi$

$A= 452.38934211 ...$

Simplify to the one-hundredths place:

$A\approx452.39$

For final answers:

$\bold{Exact}: \ \boxed{A=144\pi \ \text{square units}}$

$\bold{Approximate}: \ \boxed{A = 452.39 \ \text{square units}}$

To learn more about how to find the area of a circle given the radius, visit this helpful link:

brainly.com/question/19891555

Answer 2

Answer: 144π units^2

Step-by-step explanation:

A=πr^2

A=π(12)^2

A=144π units^2