The area of this square is 36 cm2
Work out the circumference of the circle that just fits inside it using circumference = π x diameter

Respuesta :

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]