PPT-Measuring Angles – Radian Measure

Given circle of radius r a radian is the measure of a central angle subtended by an arc length s equal to r The radian measure of an arbitrary angle There are radians in a angle Why . Angles that form angles Angles that form A A complete revolution complete revolution add up to add up to 360 360 Exam Exam ple ple ABC forms a ABC forms a complete complete revolution with revolution with reflex reflex ABC ABC 360 360 35 325 35 Mr. Peterson. CC standard 7.g.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to . write and solve simples equations for an unknown angle in a figure. . How to Measure. LT: . Too much or too little of an ingredient = big difference in product outcome. Learn:. Which tool to use. How to use meas. tools CORRECTLY. Essential Question. Why use standardized recipes?. Angles are ACUTE angles Angles equal to 90 are RIGHT angles Angle are OBTUSE angles Angles equal to 180 Angles more than 180 are REFLEX angles ♪♪Twinkle Twinkle Little Star. Circumference Equals 2πr♪♪. Length of an arc (Arc Length):. . s = . rθ. . . s = (π. rθ. )/180. 1 Revolution (Circumference):. . s = 2πr . A radian is a unit of an angle equal to the angle at the center of a circle whose arc is equal to the length of the radius. . 1. Lesson 1-4. Angles. Lesson 1-4: Angles. 2. Angle and Points. An Angle is a figure formed by two rays with a common endpoint, called the . vertex. .. vertex. ray. ray. Angles can have points in the interior, in the exterior or on the angle.. Protractor: . What do you notice? . Task One: . Look at the protractor. Write down everything that you notice about the protractor. Try and come up with at least . 10 facts. Think about . number patterns . Most ingredients are measured by volume, which means the amount of space an ingredient takes up.. Units of Measure. Customary. Volume: t., T., c., oz., pt., gal.. Weight: oz., lb.. Temperature: degrees in Fahrenheit. 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.. (The Greeks doing trig in fancy dress.). Intro to Trigonometry. For those later influenced by Greek mathematics, trigonometry deals with periodic functions, whose graphs are usually pretty wavy, and whose applications far exceed the polygonal constraints of triangles: periodic motion, sound, and other interesting stuff.. 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.. These are the . standard measuring . utensil sizes. …. ©2002 Learning Zone Express. 2. Name That Utensil. Can you name them?. What are two ingredients that . you would measure using. :. measuring spoons?. Angles and Arcs in the Unit Circle. 1. 2. 5.1 Radian and Degree Measure. In this section, we will study the following topics:. Terminology used to describe angles. Degree measure of an angle. Radian measure of an angle.