Standard Equation of a Circle w/center at the origin. x 2 + y 2 = r 2 r is the radius Translation of circles:

Slides:

Advertisements

Similar presentations

12-5 Circles in the Coordinate Plane

Advertisements

Graphs and Equations of Circles Book: Math 3 (Green Book) Section: 5.2.

EQUATIONS OF CIRCLES.

Complete the square and write as a squared binomial. 1.1.x 2 + 6x + _____ = _____________ 2.2.x 2 – 10x + _____ = _____________ 3.3.x x + _____ =

Standard Form for a Circle Where the center is (h,k) and the radius is r. (h, k) r.

Problem Set 2, Problem # 2 Ellen Dickerson. Problem Set 2, Problem #2 Find the equations of the lines that pass through the point (1,3) and are tangent.

Notes Over 10.3 r is the radius radius is 4 units

Advanced Algebra Trigonometry Appendix B

CIRCLES Unit 3-2. Equations we’ll need: Distance formula Midpoint formula.

Circles Date: _____________.

Starter Activity Write the equation of a circle with a center of

Graphing Circles Viviana C. Castellón East Los Angeles College MEnTe Mathematics Enrichment through Technology.

Circles Notes. 1 st Day A circle is the set of all points P in a plane that are the same distance from a given point. The given distance is the radius.

10.6 Equations of a Circle Standard Equation of a Circle Definition of a Circle.

Equations of Circles 10.6 California State Standards 17: Prove theorems using coordinate geometry.

EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

CCGPS GEOMETRY UNIT QUESTION: How are the equations of circles and parabolas derived? Standard: MCC9-12..A.REI.7, G.GPE.1,2 and 4 Today’s Question: How.

10.6 Equations of Circles Advanced Geometry. What do you need to find the equation of a circle? Coordinates of the Center of the circle. Radius – Distance.

9-8 Equations of Circles Objectives: To write and use the equation of a circle in the coordinate plane.

Section 1.5 Circles. OBJECTIVES -Write standard form for the equation of a circle. -Find the intercepts of a circle and graph. -Write the general form.

Unit 1 – Conic Sections Section 1.2 – The Circle Calculator Required.

5.2 Graph and Write Equations of Circles Pg180.  A circle is an infinite set of points in a plane that are equal distance away from a given fixed point.

Conics Conics Review. Graph It! Write the Equation?

Section 6.2 – The Circle. Write the standard form of each equation. Then graph the equation. center (0, 3) and radius 2 h = 0, k = 3, r = 2.

Warm Up Week 2. Section 10.6 Day 1 I will write the equation of a circle. Circle Equation Must know the coordinate of the center and the radius.

Algebra II Honors Problem of the Day Homework: p odds Without graphing find all symmetries for each equation.

C IRCLES Sec: Basic Circles and 12.5 G.11 a,b Circles.

Equations of Circles. Vocab Review: Circle The set of all points a fixed distance r from a point (h, k), where r is the radius of the circle and the point.

Warm-Up What is the distance between the two trees? If you wanted to meet a friend halfway, where would you meet.

Circles Standard form of a circle: Notice the sign change. When pulling the numbers out of the equation to get the center, change the signs!

8.3: Circles Write equations of circles Graph circles.

10-3 Circles Learning Target: I can use equations of circles to model and solve problems Goal 2.09.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Circles Objectives: Write an equation for a circle given sufficient information Given an equation of a circle, graph it and label the radius and the center.

Warm Up. EQUATION OF A CIRCLE Geometry How can we make a circle? What are the most important aspects when drawing a circle?

The Circle. Examples (1) – (5) Determine the center and radius of the circle having the given equation. Identify four points of the circle.

9.6 Circles in the Coordinate Plane Date: ____________.

8.1 The Rectangular Coordinate System and Circles Part 2: Circles.

We will only look at Circles and Parabolas this year.

Section 9-2 Graphing Circles 1 General form for a circle Represents the center of the circle Represents a point on the circle Represents the radius of.

Warm-up . What do we need to keep the same? What do we need to change?

Chapter 10.7 Notes: Write and Graph Equations of Circles

Equations of Circles. You can write an equation of a circle in a coordinate plane, if you know: Its radius The coordinates of its center.

Equation of a Circle. Equation Where the center of the circle is (h, k) and r is the radius.

EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. SOLUTION The radius is 3 and the center is at the origin. x 2 + y 2 = r.

Splash Screen. Then/Now You wrote equations of lines using information about their graphs. Write the equation of a circle. Graph a circle on the coordinate.

Circles A review?. Let's review what we already know about circles. Definition: A circle is a locus (set) of points in a plane equidistant from a fixed.

  Where the center of the circle is (h, k) and r is the radius. Equation.

Warm Up Find the slope of the line that connects each pair of points. – (5, 7) and (–1, 6) 2. (3, –4) and (–4, 3)

Tues 4/12 Lesson 10 – 3 Learning Objective: To graph circles Hw: Pg. 634 #5 – 61 eoo, skip 13, 47.

Circles March 18th A ___________ is the set of all point that are a fixed distance, called the _________ from a fixed point, called the _________.

10.3 Circles 10.3 Circles What is the standard form equation for a circle? Why do you use the distance formula when writing the equation of a circle? What.

Wed 4/13 Lesson 10 – 3 Learning Objective: To graph circles Hw: Pg. 634 #5 – 61 eoo, skip 13, 47.

9.3 - Circles Objectives: Write an equation for a circle given sufficient information. Given an equation of a circle, graph it and label the radius and.

Equations of Circles.

Examples: Intro to Conics - Circles

Equations of Circles.

Notes Over 10.3 r is the radius radius is 4 units

Writing equations for Circles

(x2,y2) (3,2) (x1,y1) (-4,-2).

Lesson: 10 – 8 Equations of Circles

Equations of Circles.

28. Writing Equations of Circles

Learning Target #21 Equations of Circles.

Writing Equations of Circles

Chapter Equations of Circles.

Presentation transcript:

Standard Equation of a Circle w/center at the origin. x 2 + y 2 = r 2 r is the radius Translation of circles: (x – h) 2 + (y – k) 2 = r 2 (h, k) = Center of the circle r = radius x - shifty - shift GOLDEN RULE

1. Write an equation: Center (2, -3) and radius is 5.

1. Find the center of the circle and what is the radius. (x + 5) 2 + (y – 2) 2 = 64

1. Write the equation for the given picture: A. Find center: B. Identify radius: C. Plug in equation:

Example: Graph the Circle (x + 2) 2 + (y – 3) 2 = Center 2. Radius in all directions 3. Connect Points

 Pg and 24-29