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Circle – the set of all points in a plane a
given distance away from a center point.
                      A circle is named by
                     its center point. For
        A             example: Circle A or
                                A.
              Radius (r) Plural: Radii
Radius – the “given distance away from
the center point” of a circle; a segment
 that joins the center to a point on the
                 circle.
Sphere – the set of all points a given
 distance away from a center point.
Chord – a segment whose endpoints lie on
             on the circle.
                          Example: DC

     A                B
                      C

         D

 Diameter – a chord that passes through
 the center of the circle. Example: AB
A diameter is twice the length of a radius.
Secant – a line that contains a chord.


                       B      Example: AB
      A

 **Note: A chord and a secant can be named
using the same letters. The notation tells you
whether it is a secant or a chord. A secant is
        a line; a chord is a segment.**
          Secant: AB       Chord: AB
Tangent – a line that intersects a
      circle at exactly one point.

                             Not a
                  B         tangent!



              A   The point at which the
                  circle and the tangent
                  intersect is called the
                    point of tangency.
Example: AB
                       Example: A
5cm        Congruent Circles –
                       circles with
5cm                  congruent radii.




   Concentric
Circles – circles
 with the same
 center point.
A polygon is inscribed in a circle
and the circle is circumscribed
about the polygon when all of
the vertices of the polygon lie
on the circle.
 This pentagon is
 inscribed inside
   of the circle.
When each side of a polygon is
tangent to a circle, the circle is
said to be inscribed in the
polygon.

 This circle is
   inscribed
 inside of the
   pentagon.

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Section 9 1 notes

  • 1.
  • 2.
  • 3. Circle – the set of all points in a plane a given distance away from a center point. A circle is named by its center point. For A example: Circle A or A. Radius (r) Plural: Radii Radius – the “given distance away from the center point” of a circle; a segment that joins the center to a point on the circle.
  • 4. Sphere – the set of all points a given distance away from a center point.
  • 5. Chord – a segment whose endpoints lie on on the circle. Example: DC A B C D Diameter – a chord that passes through the center of the circle. Example: AB A diameter is twice the length of a radius.
  • 6. Secant – a line that contains a chord. B Example: AB A **Note: A chord and a secant can be named using the same letters. The notation tells you whether it is a secant or a chord. A secant is a line; a chord is a segment.** Secant: AB Chord: AB
  • 7. Tangent – a line that intersects a circle at exactly one point. Not a B tangent! A The point at which the circle and the tangent intersect is called the point of tangency. Example: AB Example: A
  • 8. 5cm Congruent Circles – circles with 5cm congruent radii. Concentric Circles – circles with the same center point.
  • 9. A polygon is inscribed in a circle and the circle is circumscribed about the polygon when all of the vertices of the polygon lie on the circle. This pentagon is inscribed inside of the circle.
  • 10. When each side of a polygon is tangent to a circle, the circle is said to be inscribed in the polygon. This circle is inscribed inside of the pentagon.