PPT-Objectives: To find the measures of central angles and arcs

To find circumference and arc length 76 Circles and Arcs M11C1 Vocabulary In a plane a circle is the set of all points equidistant from a given point called the center You name a circle by its center Circle P OP. Pg 603. Central Angle. An angle whose vertex is the center of the circle. Arcs. Minor Arc. CB. Major Arc. BDC. Semicircle. Endpoints of the arc are a diameter. Measures of Arcs. Minor Arc. The measure of the central angle. Angle Pair Relationships. Adjacent Angles. Vertical Angles. Linear Pair. Complementary Angles. Supplementary Angles. Adjacent angles are “side by side” and share a common ray.. 45. º. 15. º. These are examples of adjacent angles.. Arc Measure. Arc Measure = the angle measure . Task 12.1. Visual Aid. http://www.mathopenref.com/arcangle.html. Central Angles & Arc Measures. Minor/Major Arcs. Minor Arcs = arcs that are less than 180°.. 2/24/2010. Objectives/Assignment. Use properties of arcs of circles, as applied.. Using Arcs of Circles. In a plane, an angle whose vertex is the center of a circle is a . central angle. of the circle. . Section 10.4. Inscribed Angles . Boardwork. Find the measure of the indicated arc or angle in Circle O.  . Find the measure of the indicated arc or angle in Circle O.  . Find the measure of the indicated arc or angle in Circle O. Central Angles. Central Angle. (of a circle). Central Angle. (of a circle). NOT A. Central Angle. (of a circle). A . central angle. is an angle whose vertex is the CENTER of the circle. CENTRAL ANGLES AND ARCS. Angles. Geometry. Objectives/Assignment. Use . inscribed angles to solve problems.. Use properties of inscribed polygons. .. Review. Definitions. An . inscribed angle. is an angle whose vertex is on a circle and whose sides contain chords of the circle. .  .  . Today’s Objectives:. Students will be able to find and use the sum of the measures of the interior angles of a polygon. . Students will be able to find and use the sum of the measures of the exterior angles of a polygon. . (G.11a/10.6. ). . OBJ:. SWB. introduced to basic terminology of Circles. SWBAT find the measures of central angles, arcs, arc lengths and . circumference. . (G.11b,C). WU: SOL questions G.7-GRADED!!!!. thm. 12.10 from pgs 679 and 680. 12.2/12.3: . Chords and . arcs & Inscribed Angles. LEQ: WHAT ARE THE THEOREMS INVOLVED AND CALCULATIONS WITH CHORDS AND ARCS?. Theorem sheet. Thm. . 12.4:. 1.) Congruent central angles have congruent chords (vice versa). Concept 1. Find the Interior Angles Sum of a Polygon. A. . Find the sum of . the measures . of the interior angles of a convex nonagon.. A nonagon has nine sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures.. Lesson 8-4: Arcs and Chords. 1. Warm-Up #35 Wednesday, 5/18. Lesson 8-4: Arcs and Chords. 2. 1. Find the perimeter of the polygon. 2. Find the distance between the centers of the pulleys.. 3. . The radius of Earth is about 6400 km. Find the distance d, given h= 1km. Measure angles with a protractor. Identify and use the angle addition postulate. Warm-Up: . Find the indicated value. AC = 20; AB = _____. A. B. C. x-4. 2x 3. Vocabulary:. Degree:. The most common unit of angle measure.. Warm Up. 1.. . Draw opposite rays . . . and . .. . Solve . each equation.. 3.. 2. x. 3 . x. – 4 3. x. – 5 = . 180 . .  . 2.. Draw . . . and . , . where . A. , . . B. , and .