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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 from a given point (center).

• Name the circle

• Circle A or

• Name a radius

• Name 2 chords

• Name a diameter

Find measures in intersecting circles from a given point (center).

• 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. from a given point (center).

• 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. from a given point (center).

• C =

• Find C if d = 6 mm

• C =

• Find d and r if C =

• d = 34

• If d = 34 then r = 17