10.2 Circles Objective: Use and determine the standard and general forms of the equations of a circle. Graph Circles.

Slides:

Advertisements

Similar presentations

12-5 Circles in the Coordinate Plane

Advertisements

Notes Over 10.3 r is the radius radius is 4 units

A circle is tangent to the x-axis at (-2, 0) and the y-axis at (0, 2). What is the equation of this circle?

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

Chapter 10.5 Conic Sections. Def: The equation of a conic section is given by: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 Where: A, B, C, D, E and F are not.

Aim: What is the standard equation of a circle? Do Now: The endpoints of a diameter of a circle are P(6,1) and Q(-4,-5). Find the coordinates of the center.

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

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

Writing Equations of Circles. Remember Equation: (x-h) 2 +(y-k) 2 =r 2 Center (h, k) Radius = r So, to write the equation of a circle, we need the center.

Conic Sections Circles Objective: Find the standard form of a circle.

+ Equation of a Circle. + Circle A Circle is a set of all points in a plane equidistant from a given point. The Center.

Conic Sections Practice. Find the equation of the conic section using the given information.

Equations of Circles.

Find the missing coordinate in the ordered pair

Circles Objectives: Write the Standard Form and General Form of the Equation of a Circle Find the Center and Radius of a Circle in Standard Form and General.

College Algebra Chapter 2 Functions and Graphs

Polar Coordinates r Pole Polar axis.

Examples: Intro to Conics - Circles

Equations of Circles.

Section 10.1 – The Circle.

Notes Over 10.3 r is the radius radius is 4 units

COORDINATE PLANE FORMULAS:

Section 2.8 Distance and Midpoint Formulas; Circles

DRILL Find the area and circumference of each circle in terms of (pi) with the given information for each circle. Radius = 5 in. Diameter = 14 ft. Radius.

Equations of Circles.

Lesson: 10 – 8 Equations of Circles

CIRCLES Topic 10.2.

Circle Centre (a, b) radius r

What is a radius of a circle? What about the diameter?

Chapter 13 Review White Boards!!!!.

11.7 Circles in the Coordinate Plane

Algebra ii Honors/GIfted

Circles Tools we need for circle problems:

College Algebra Chapter 2 Functions and Graphs

Equations of Circles.

Math III Warm Up 2/24/14 Complete the square: 1.

Equations of Circles.

Section 1.9 Distance and Midpoint Formulas; Circles

Graphing and Writing Equations of Circles

Section 1.5 Circles Copyright © 2013 Pearson Education, Inc. All rights reserved.

4.1 Equations of circles Arcs, Inscribed Angles, Central Angles

Circles in the Coordinate Plane

Circles Objectives: Write the Standard Form and General Form of the Equation of a Circle Find the Center and Radius of a Circle in Standard Form and General.

Tangents to Circles.

Equations of Circles.

Lesson 10-3: Circles.

1.3 Symmetry; Graphing Key Equations; Circles

Graphing and Writing Equations of Circles

Chapter 9 Section 8: Equations of Circles.

Equations of Circles.

LT 11.8: Write equations and graph circles in the coordinate plane.

The equation of a circle is based on the Distance Formula and the fact that all points on a circle are equidistant from the center.

28. Writing Equations of Circles

EOC REVIEW B, D, E.

Chapter 1 Test Review.

Find the center and radius of a circle with equation:

Circles in the Coordinate Plane

Welcome. Welcome HW Key: Objectives & HW: The students will be able to find the equation of a circle satisfying a given set of conditions, and identify.

Warmup Find the distance between the point (x, y) and the point (h, k).

Objective: To write an equation of a circle.

Equations of Circles.

Writing Equations of Circles

Starter Draw axes from -10 to 10, then copy and complete the table below, to sketch a graph for x² + y² = 25. x

Equations of Circles.

Circles Objectives: Write the Standard Form and General Form of the Equation of a Circle Find the Center and Radius of a Circle in Standard Form and General.

Chapter Equations of Circles.

Conic Sections Circles

Geometry Tuesday Discussion/Notes/Guided Practice Turn in:

Presentation transcript:

10.2 Circles Objective: Use and determine the standard and general forms of the equations of a circle. Graph Circles.

Standard Form of a Circle The standard form of the equation of a circle with radius r and center at (h, k) is: (x – h)2 + (y – k)2 = r2

Write the standard form of the equation of the circle that is tangent to the x-axis and has its center at (3, -2). Then graph the equation.

Write the standard form of the equation of the circle that is tangent to the x-axis and has its center at (-4, 3). Then graph the equation.

General Form of a Circle The standard form of the equation of a circle is: x2 + y2 + Dx + Ey + F = 0 where D, E, and F are constants.

The equation of a circle is x2 + y2 – 4x + 12y + 24 = 0 The equation of a circle is x2 + y2 – 4x + 12y + 24 = 0. a) Write the standard form of the equation. b) Find the radius and the center. c) Graph the equation.

The equation of a circle is 2x2 + 2y2 – 4x + 12y – 18 = 0 The equation of a circle is 2x2 + 2y2 – 4x + 12y – 18 = 0. a) Write the standard form of the equation. b) Find the radius and the center. c) Graph the equation.

Write the standard form of the equation of the circle that passes through the points at (1, -1), (5, 3), and (-3, 3). Then identify the center and radius of the circle.

Write the standard form of the equation of the circle that passes through the points at (5, 3), (-2, 2), and (-1, -5). Then identify the center and radius of the circle.

Assignment 10.2 Practice Worksheet #1-5