Exploring Circle Intersections and Central Angles
Learn about the intersecting possibilities of lines and circles along with central angles within the circle. Discover the properties of arcs, chords, and theorems related to circle geometry.
Exploring Circle Intersections and Central Angles
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Presentation Transcript
A line intersecting a circle - Draw the possibilities 1 2 0 5.7 Getting Started
A circle intersecting a circle - Draw the possibilities 0 1 2 ∞ 5.7 Getting Started
Central angle: angle that has vertex at center of circle A o B <AOB is a central angle 5.8 Arcs and Central Angles
Arc: part of the circumference *many times, I use 3 letters for an arc, just to be sure people know which one I’m talking about Like AXB A * Or sometimes we use minor and major arc o X B AB usually identifies the smaller red arc 5.8 Arcs and Central Angles
Measure of an arc: measure of the central angle that eats it *this is different than the distance of an arc! A o 120o X B mAB is 120o mAXB is 240o 5.8 Arcs and Central Angles
Chord: segment that connects 2 points on a circle A B o F E C D AC, BF, and DE are chords 5.8 Arcs and Central Angles
Theorem 2 chords are congruent iff their corresponding arcs are congruent. A o C 70o 70o B D If AB CD, then AB CD 5.8 Arcs and Central Angles