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

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Circles and Circumference

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Circles and circumference

Circles and Circumference

Section 10.1


Circles and circumference

  • 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

Identify Parts of a Circle

  • Name the circle

  • Circle A or

  • Name a radius

  • Name 2 chords

  • Name a diameter


Circles and circumference

  • 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

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


Circles and circumference

  • 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 =


Circles and circumference

  • 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


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