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?

Guest Jan 20, 2021

#1**+2 **

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.

!

asinus Jan 20, 2021