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# geometry

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What is the area, in square units, of a square whose sides are the same length as the radius of a circle with a circumference of 12 units?

Jan 20, 2021

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What is the area, in square units, of a square whose sides are the same length as the radius of a circle with a circumference of 12 units?

Hello Guest!

$$C=2\pi r\\ r= \dfrac{C}{2\pi}\\ r=\dfrac{12}{2\pi}$$

$$r=\dfrac{6}{\pi}$$

$$a=r\\ a=\dfrac{6}{\pi}\\ A=a^2\\ A= (\dfrac{6}{\pi})^2$$

$$A=\dfrac{36}{\pi^2}=3.648$$

The area of this square is 3.648 in square units.

!

Jan 20, 2021
edited by asinus  Jan 20, 2021