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Monday October 21. Test Friday . Math II. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different from inscribed angles? Standard: MM2G3.b. C. Parts of a Circle.
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Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different from inscribed angles? Standard: MM2G3.b
C Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. equidistant C center Symbol:
CHORD: A segment whose endpoints are on the circle
DIAMETER: Diameter Distance across the circle through its center P Also known as the longest chord.
Radius RADIUS: Distance from the center to point on circle P
D = 24 32 12 r = ? 16 r = 4.5 6 D = 12 9
Q R P S T Use P to determine whether each statement is true or false.
Secant Line: intersects the circle at exactly TWO points SECANT sounds like second
Tangent Line: a LINE that intersects the circle exactly ONE time Forms a 90°angle
Name the term that best describes the notation. Secant Radius Diameter Chord Tangent
THINGS TO REMEMBER: A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Equal Linear Pairs are Supplementary
Central Angle : vertex is at the center of the circle A P C B APB is a Central Angle
Case I:Vertex is AT the center A P C B
EDF Semicircle: An Arc that equals 180° To name: use 3 letters E D P F
Central Angle : vertex is at the center of the circle ACB AB A Major Arc Minor Arc More than 180° Less than 180° P C B
measure of an arc = measure of central angle m AB m ACB m AE A E 96 Q = 96° B C = 264° = 2x + 14 Find x. x = 35