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. Bingxiao Xu. Johns Hopkins University. Outlines. Science motivation. Automate arcfinder. Test the arcfinder by simulations. Priliminary results. Future prospects. Why Giant Arcs?. The abundance of the giant arcs is sensitive to the inner structure of the clusters and cosmology. Section 4.2. Objectives. Find angle measures in triangles.. Key Vocabulary. Corollary. Exterior angles. Interior angles. Theorems. 4.1 Triangle Sum Theorem. Corollary to the Triangle Sum Theorem. 4.2 Exterior Angle Theorem. Work on p. 779 #44 – 45. Bellringer. Pop Quiz!!. Arcs and Chords. A . minor arc. is any arc that measures less than 180°. A . major . arc. is any arc that measures . more than . 180. °. A . semicircle. 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. . Instructional Design Models. Presented by Cooperative Group 2:. Norma Abundez. Javier Aguilar. Raul Garza. Rebecca . McCully. Lauren Simpson. EDTC 6321 Dr. Pan. Abstract:. There . are several benefits and drawbacks associated with each model, and these factors should be considered before choosing a model to implement. For this project, our group will concentrate on the ASSURE and ARCS models. We will highlight the background of each model and describe the general procedures for implementing each process. .  .  . 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. . 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). Angles & Their Names. Angle: consists of two different rays with the same endpoint.. Sides: the rays of the angle.. Vertex: the endpoint of the angle.. Name the 3 angles.. or. or. or.  . Angles & Their Measures. The vertical distance from rotary table to Point B is called a true vertical depth. The inclination angle ‘I’ is the angle between vertical and the wellbore. . The direction angle ‘A’ is specified as the azimuth between the geographic north and the projection of a wellbore on a horizontal plane.. 1. 2.. Now put it all together to solve for the missing angle.. Unit 6 – Day 3. Inscribed and Circumscribed. Today’s Objectives. Students will use properties of Central angles and Tangent lines to solve for missing parts. Sometimes it is referred to as a “middle” number of the data.. Measures of Central Tendency:. A single number to serve as a representative value around which all the numbers in the set tend to cluster.. 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 . Angles of Triangles Objectives Find angle measures in triangles. Key Vocabulary Supplementary Angles Complementary Angles Exterior angles Interior angles Additional Vocabulary Theorem - Mathematics. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas. 2. a rule or law, especially one expressed by an equation or formula