Mathematics: Acircle 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

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Acircle has a circumference of 18.84 inches. what - id1884450246, cassidyschmuzler

miguelsanchez1456

11.03.2022

C 28.26

Step-by-step explanation:

Circumference is definded as:

$c=2\pi r~~~~(1)$

Area is definded as:

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

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

$r=\frac{c}{\pi }~~~~~(3)$

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

$A=\pi (\frac{c}{\pi})^{2} =\pi \frac{c^{2} }{\pi^{2} }= \frac{c^{2} }{\pi }~~~~(4)$

c=18,84, so we have

$A=\frac{18.84^{2} }{\pi }=\frac{354.9456}{3.141582}\approx 28.26$

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