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Verified Answer :

calculista

Answer:

The answer is the option C

\(12\pi\ units^{2}\)

Step-by-step explanation:

we know that

the circumference of a circle is equal to

\(C=2\pi r\)

In this problem we have

\(C=4\pi\sqrt{3} \ units\)

substitute in the equation and solve for r

\(4\pi\sqrt{3}=2\pi r\)

\(2\sqrt{3}= r\) -------> \(r=2\sqrt{3}\ units\)

Find the area of the circle

Remember that

The area of a circle is equal to

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

substitute the value of r

\(A=\pi (2\sqrt{3})^{2}\)

\(A=12\pi\ units^{2}\)


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