A circle has a circumference of 18.84 inches. What is the area of the circle?
A. 6 square inches
B. 18.84 square inches
C.28.26 square inches

Respuesta :

Answer:

C 28.26

Step-by-step explanation:

Circumference is definded as:

[tex]c=2\pi r~~~~(1)[/tex]

Area is definded as:

[tex]A=\pi r^{2}~~~~(2)[/tex]

The unknown values are A and r, so we can solve (1) for r and replace it in (2)

[tex]r=\frac{c}{\pi }~~~~~(3)[/tex]

we replace (3) in (2) and we get

[tex]A=\pi (\frac{c}{\pi})^{2} =\pi \frac{c^{2} }{\pi^{2} }= \frac{c^{2} }{\pi }~~~~(4)[/tex]

c=18,84, so we have

[tex]A=\frac{18.84^{2} }{\pi }=\frac{354.9456}{3.141582}\approx 28.26[/tex]

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