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circle - set of all points in a plane at a given distance from a given point in the plane.

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Presentation on theme: "circle - set of all points in a plane at a given distance from a given point in the plane."— Presentation transcript:

1

2 circle - set of all points in a plane at a given distance from a given point in the plane

3 Parts of a Circle:

4 radius - segment from point on circle to circles center

5 center - point in middle of circle with letter next to it

6 Circles are named by their center point.

7 This circle is circle A.

8 What is the name of the circle below?

9 Circle N

10 congruent circles - circles with the same radius

11 These circles are congruent.

12 arc of a circle - two points on the circle and the unbroken part between the two points

13 arc of a circle endpoints - the two points that define an arc

14 NAMING ARCS An arc is named by its endpoints.

15 THREE TYPES OF ARCS: semicircle - arc whose endpoints are a diameter (half a circle)

16 THREE TYPES OF ARCS: semicircle - named using three points on the arc; endpoints listed first and last

17 THREE TYPES OF ARCS: The blue dashed arc is arc AOB or symbolically...

18 THREE TYPES OF ARCS: minor arc - arc less than a semicircle

19 THREE TYPES OF ARCS: minor arc - named using the two endpoint letters

20 THREE TYPES OF ARCS: The blue dashed arc is arc YZ or symbolically...

21 THREE TYPES OF ARCS: major arc - arc greater than a semicircle

22 THREE TYPES OF ARCS: major arc - named using three points on the arc with endpoints listed first and last

23 THREE TYPES OF ARCS: major arc - named using three points on the arc with endpoints listed first and last

24 THREE TYPES OF ARCS: The blue dashed arc is arc YXZ or symbolically...

25 chord A segment whose endpoints are on the circle.

26 AB is a chord.

27 diameter A chord that goes through the center of a circle.

28 CD is a diameter.

29 secant -line that goes through two points of a circle.

30 -line m is a secant

31 tangent -line that touches circle at only one point

32 -line p is a tangent

33 inscribed angle -angle made of two chords

34 -  ABC and  BCD are inscribed angles

35  BCD is an inscribed angle m  BCD = ½ m

36 central angle -angle made of two radii

37 -  COD is a central angle

38  COD is a central angle m  COD = m

39 Name each circle part as either a chord, diameter, secant, tangent, or inscribed angle.

40 tangent line

41 chord

42 secant

43 central angle  DOA

44 diameter

45 inscribed angle


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