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Polizzi/Denman                                                          Math – 6
                                         Study Guide
                                            Circles
Topics on Quiz:
   1. Circumference of a circle
   2. Area of a circle

Diameter: Line segment from arc to arc through the midpoint of the circle. Diameter is twice
the radius.

Radius: ½ the diameter of a circle, it’s a line segment from midpoint on the circle to the arc.

Chord: Line segment from arc to arc but not through the midpoint of the circle.

                             Circumference of a circle




• Circumference: the distance around a circle (outside).

C=2π R
                      C=2πR
                       = 2 (π) (2)
                       =4π


   • If the circle shows the diameter, you need to take half to find the radius.


                      C=2πR
                       = 2 (π) (1.5)
                       =3π
Area of a circle




• Area: the number of square units inside that circle.

A = π R²
                   A = π R²
                     = π (3) 2
                     =9π

   • If the circle shows the diameter, you need to cut it in half to find the
     radius.


                    A = π R²
                      = π (4) 2
                      = 16 π

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Study Guide for Circles

  • 1. Name __________________________________________ Date ____________ Polizzi/Denman Math – 6 Study Guide Circles Topics on Quiz: 1. Circumference of a circle 2. Area of a circle Diameter: Line segment from arc to arc through the midpoint of the circle. Diameter is twice the radius. Radius: ½ the diameter of a circle, it’s a line segment from midpoint on the circle to the arc. Chord: Line segment from arc to arc but not through the midpoint of the circle. Circumference of a circle • Circumference: the distance around a circle (outside). C=2π R C=2πR = 2 (π) (2) =4π • If the circle shows the diameter, you need to take half to find the radius. C=2πR = 2 (π) (1.5) =3π
  • 2. Area of a circle • Area: the number of square units inside that circle. A = π R² A = π R² = π (3) 2 =9π • If the circle shows the diameter, you need to cut it in half to find the radius. A = π R² = π (4) 2 = 16 π