Bell Ringer Write an example of each of the following:

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Presentation transcript:

Bell Ringer 11-27-17 Write an example of each of the following: 1. Radius 2. Secant 3. Tangent 4. Chord 5. Diameter 6. Minor arc 7. Major arc 8. Central angle 9. Inscribed angle 10. Center

Arc Length Monday, November 27, 2017

Quick Definition Review Chord: a segment whose endpoints lie on a circle A B AB

Quick Definition Review Arc: an unbroken part of a circle

Quick Definition Review Minor Arc: an arc that is less than half of a circle. to name, use 2 points

Quick Definition Review Major Arc: an arc that is more than half of a circle. to name, use 3 points

Quick Definition Review Central Angle: an angle whose vertex is at the center of a circle

Quick Definition Review Inscribed Angle: an angle whose vertex is on a circle and whose sides are chords of the circle

Quick Definition Review Tangent: a line, ray, or segment that intersects the circle in only one point (perpendicular)

Quick Definition Review Secant: a line, ray, or segment that contains a chord

Arc Length Arc Measure (yesterday) is in degrees. Arc Length is in units like cm, ft, and in. Arc Length is a portion of the circumference just as an arc is a portion of the entire circle. Everything is proportional when it comes to circles! You need to know the central angle that intercepts your arc to set up your proportion.

Examples Find the arc length: 1. Radius 5 cm, central angle 50º Find the circumference: 3. Central angle 55º, arc length 5.5 cm 4. Central angle 60º, arc length 3.82 m Find the central angle: 5. Arc length 45 ft, radius 12 ft 6. Arc length 30in, radius 14 in

Classwork Homework Geometry book p. 686-688 #13-47 odd Circumference and Arc Length

Exit Ticket How does the proportion for arc length compare with the proportion for arc measure? 2. What is the difference between arc length and arc measure?