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Warm Up April 21 st , 2014

Warm Up April 21 st , 2014. Draw the diagram of the 30-60-90 triangle and label the sides. If tanB = 13/14 find the angle measure of B?. EOCT Week 14 #1. AGENDA. Quiz and tests returned Notes on Circles Notes on Central Angles Practice Worksheet Homework Worksheet. Unit 3 Circles.

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Warm Up April 21 st , 2014

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  1. Warm Up April 21st, 2014 • Draw the diagram of the 30-60-90 triangle and label the sides. • If tanB = 13/14 find the angle measure of B?

  2. EOCT Week 14 #1

  3. AGENDA • Quiz and tests returned • Notes on Circles • Notes on Central Angles • Practice Worksheet • Homework Worksheet

  4. Unit 3 Circles

  5. Segments of Circles

  6. C Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. equidistant C center Symbol:

  7. CHORD: A segment whose endpoints are on the circle

  8. Radius RADIUS: Distance from the center to point on circle P

  9. DIAMETER: Diameter Distance across the circle through its center P Also known as the longest chord.

  10. D = ? 24 32 12 r = ? 16 r = ? 4.5 6 D = ? 12 9

  11. Q R P S T Use P to determine whether each statement is true or false.

  12. Secant Line: intersects the circle at exactly TWO points

  13. Tangent Line: a LINE that intersects the circle exactly ONE time Forms a 90°angle with a radius Point of Tangency: The point where the tangent intersects the circle

  14. Name the term that best describes the notation. Secant Radius Diameter Chord Tangent

  15. Central Section 6.2 Arcs

  16. Central Angle : An Angle whose vertex is at the center of the circle ACB AB A Major Arc Minor Arc More than 180° Less than 180° P To name: use 3 letters C To name: use 2 letters B APB is a Central Angle

  17. EDF Semicircle: An Arc that equals 180° To name: use 3 letters E D P F

  18. THINGS TO KNOW AND REMEMBER ALWAYS A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Equal

  19. measure of an arc = measure of central angle m AB m ACB m AE A E 96 Q = 96° B C = 264° = 84°

  20. Arc Addition Postulate m ABC = m AB + m BC A C B

  21. m DAB = Tell me the measure of the following arcs. 240 D A 140 260 m BCA = R 40 100 80 C B

  22. CONGRUENT ARCS Congruent Arcs have the same measure and MUST come from the same circle or of congruent circles. C B D 45 45 110 A Arc length is proportional to “r”

  23. Classwork • Practice Worksheet

  24. Homework: • Practice Worksheet

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