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

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Presentation transcript:

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

Parts of a Circle:

radius - segment from point on circle to circles center

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

Circles are named by their center point.

This circle is circle A.

What is the name of the circle below?

Circle N

congruent circles - circles with the same radius

These circles are congruent.

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

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

NAMING ARCS An arc is named by its endpoints.

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

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

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

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

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

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

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

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

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

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

chord A segment whose endpoints are on the circle.

AB is a chord.

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

CD is a diameter.

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

-line m is a secant

tangent -line that touches circle at only one point

-line p is a tangent

inscribed angle -angle made of two chords

-  ABC and  BCD are inscribed angles

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

central angle -angle made of two radii

-  COD is a central angle

 COD is a central angle m  COD = m

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

tangent line

chord

secant

central angle  DOA

diameter

inscribed angle

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