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Circles and Circumference

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Circles and Circumference

Section 10.1

- Circle – set of all ordered points that are equidistant from a given point (center).
- Chord – segment whose endpoints are points on the circle.
- Radius – segment with endpoints that are the center and a point of the circle
- Diameter – a chord that passes through the center of the circle

- Name the circle
- Circle A or
- Name a radius
- Name 2 chords
- Name a diameter

- All radii in a circle are congruent.
- A diameter (d) is composed of 2 radii (r). So all diameters in a circle are congruent.
- d = 2r

- The diameters of are 10 inches, 20 inches, and 14 inches respectively. Find XB.
- d = 10 in circle A, AX = 5
- d = 20 in circle B AB = 10 and BC = 10
- AX + XB = AB
- 5 + XB = 10
- XB = 5
- Find BY
- d = 14 in circle C, YC = 7
- BY + YC = BC
- BY + 7 = 10

- Circumference – is the distance around the circle.
- Circumference is most represented by C
- The ratio of the circumference of a circle and the diameter of the circle is an irrational number called pi. The Greek letter is used as the exact value.
- C =
- Or C =

- Find C if r = 13 inches.
- C =
- Find C if d = 6 mm
- C =
- Find d and r if C =
- d = 34
- If d = 34 then r = 17