Question

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

Answer 1

18.8495559 cm (use however many significant figures or decimal places you are told)

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
  `Area=length*length=(length)^2`
• So if the area is the square of the same length, then the length is the square root of the area
  `length=√(area)=√(36cm^2)=6cm`
• so the circle diameter is 6 cm

• 
  `C=\pi *d\\=\pi *6cm\\=18.8495559cm`