Circles and Circumference

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Circles and Circumference - PowerPoint PPT Presentation

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

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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
Identify Parts of a Circle
• Name the circle
• Circle A or
• 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
Find measures in intersecting circles
• 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