Answer:
18.8495559 cm (use however many significant figures or decimal places you are told)
Step-by-step explanation:
- if it is inside the square and touches the edges, then the diameter of the circle equals the length of the square's sides
- Square has equal length sides so the area is [tex]Area=length*length=(length)^2[/tex]
- So if the area is the square of the same length, then the length is the square root of the area [tex]length=\sqrt{area}=\sqrt{36cm^2}=6cm[/tex]
- so the circle diameter is 6 cm
- [tex]C=\pi *d\\=\pi *6cm\\=18.8495559cm[/tex]