Circle

π=circumferencediameterπ = {circumference \over diameter}
A=πr2A = {πr^2}
  • where A = Area of a circle; r = radius

A circle has about 80% of the area of a similar-width square.

  • The actual value is (π/4)=0.785398...=78.5398...(π/4) = 0.785398... = 78.5398...%
  • ex. a square with area of 0.16m² would correspond to a circle with area of ~0.128m²

  • A line that "just touches" the circle as it passes by is called a Tangent.
  • A line that cuts the circle at two points is called a Secant.
  • A line segment that goes from one point to another on the circle's circumference is called a Chord.
    • If it passes through the center it is called a Diameter.
  • An Arc is a subsection of the diameter