PPT-Unit 4.4 Deriving the Equation of a Circle and Proving that all Circles are Similar

Instructional Days 9 Common Core Standards Expressing Geometric Properties with Equations GGPE Translate between the geometric description and the equation for a conic section GGPE1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem complete the square to find the center and radius of a circle given by an . Date: _____________. Circles. Standard Equation of a Circle. 9.3 Circles. (. x – h. ). 2. + . (. y – k. ). 2. = . r. 2. center: (. h. , . k. ). radius: . r. Write the equation of the circle that whose center is at (-2,4) and whose radius is 3.. Ms. . Andrejko. Vocabulary. Radius-. a segment with endpoints at the center and on the circle. Chord-. segment with both endpoints on the circle. Diameter-. chord that passes through the center and has endpoints on the circle. Geometry 1B. Things we already know…. Circles. The set of all points in a plane that are a given distance (radius) from a given point (center)in the plane. Radius. Segment that joins the center to a point on the circle. Centre-radius form . of a . circle. Center is at (h, k). r is the radius of the circle. r. (. h,k. ). Expand the brackets and make the RHS equal to 0.. Every term is on the left side, equal to 0.. General . Equation of a Circle. Standard: MACC.912.G-GPE.1.1. Bellwork. 1) Find the distance between the points (2, 4) & (5, 2). Find the distance of each segment.. . . a) b). AIM . MTC . Session. September 24. , 2016. Apollonius of . Perge. (c.262-c.190 BC). Ancient Greek mathematician. Born in . Perge. . (southern Asia Minor). Educated in Alexandria (?). Not really sure when he lived. - Outcomes. Recognise the equation of a circle.. Solve problems about circles centred at the origin.. Solve problems about circles not centred at the origin.. Determine whether a given point is inside or outside a circle.. Chapter 10. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Unit Outline. Translations, Dilations and Similarity (1 day). 12-5 . Circles in the Coordinate . Plane (2 days). Constructing Squares, Hexagons, and Triangles (1 day). 10-6 Circles and Arcs (1 day). 10-7 Areas of Circles and Sectors (1 day). Learning Target: . I can review properties of angles and segments in circles to determine their measure and length.. Agenda:. Do Now. Embedded Assessment Self-Assess. Circles Properties Review. Independent Practice. Responsibilities. Cassandra H. Leung | www.cassandrahl.com | @Tweet_Cassandra. Introduction. The Need. The . Challenges. Potential Solutions. RACI Matrix. Circles. Creating. . Testing. . Circles. The Format. The set of all points in a plane that are equidistant An angle whose vertex is the is 15 16 A radius drawn to a tangent at the point of 17 exterior point to a circle are congruent 18 In decisions and living independently. Example. of Poland. Europe in Action. Vilnius. , . 5 . June. 2019. Adam Zawisny, PSONI. adam.zawisny@psoni.org.pl. Workshop plan. Presentation of the . Circles. of . Dr. Md. . Ataur. . Rahman. Guest Faculty. Department of Mathematics. M.L. . Arya. , College, . Kasba. PURNEA UNIVERSITY, PURNIA. Radical axis. Define radical axis and find the equation of the radical axis of two given circles..