9.6 Circles in the Coordinate Plane Date: ____________.

Slides:

Advertisements

Similar presentations

12-5 Circles in the Coordinate Plane

Advertisements

Objectives Write equations and graph circles in the coordinate plane.

Geometry Mini-Lesson Circle C is defined by the equation: (x + 4.2)2 + (y − 5.1)2 = 36 Which of the following identifies the center C (h, k) and radius.

Notes Over 10.3 r is the radius radius is 4 units

Find the slope of the tangent line to the graph of f at the point ( - 1, 10 ). f ( x ) = 6 - 4x

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

Circles Date: _____________.

9.3 Polar and Rectangular Coordinates. The following relationships exist between Polar Coordinates (r,  ) and Rectangular Coordinates (x, y): Polar vs.

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

Distance and Midpoint Formulas; Circles

[x – (–8)] 2 + (y – 0) 2 = ( 5 ) 2 Substitute (–8, 0) for (h, k) and 5 for r. Write the standard equation of a circle with center (–8, 0) and radius 5.

10.7 Write and Graph Equations of Circles Hubarth Geometry.

GeometryGeometry Lesson 75 Writing the Equation of Circles.

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

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.

Standard Form for the Equation of the Circle

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

GEOMETRY HELP [x – (–8)] 2 + (y – 0) 2 = ( 5 ) 2 Substitute (–8, 0) for (h, k) and 5 for r. Write the standard equation of a circle with center (–8, 0)

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.

Circles in the Coordinate Plane I can identify and understand equations for circles.

Section 9-3 Circles Objectives I can write equations of circles I can graph circles with certain properties I can Complete the Square to get into Standard.

Circles. Equation of a circle: ( x – h )2 )2 + ( y – k )2 )2 = r2r2 Center of the circle: C( h, k ) Radius of the circle: r Diameter of the circle: d.

GeometryGeometry 10.6 Equations of Circles Geometry.

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.

Write and Graph Equations of Circles Chapter 10: Circles.

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.

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.

12.5 Circles in the Coordinate Plane

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

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!

11.5: Circles in the Coordinate Plane OBJECTIVES: STUDENTS WILL BE TO… IDENTIFY THE CENTER AND THE RADIUS OF A CIRCLE FROM ITS EQUATION WRITE AND GRAPH.

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.

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

DateCircles #2Page. General Form of a Circle Rewrite the Standard Form of the equation of the circle below into General Form. (x + 3) 2 + ( y – 2) 2 =

13.6 Circles. T127 Circle equation: (x-h) 2 + (y-k) 2 = r 2 Where (h,k) is the center of the circle and r = radius.

GeometryGeometry Equations of Circles. GeometryGeometry Finding Equations of Circles You can write an equation of a circle in a coordinate plane if you.

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.

Equation of Circle Midpoint and Endpoint Distance Slope

Section 2.8 Distance and Midpoint Formulas; Circles.

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

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

Advanced Algebra H Notes Section 9.3 – Graph and Write Equations of Circles Objective: Be able to graph and write equations of circles. A _________ is.

Geometry 11-5 Circles in the Coordinate Plane. Equation Exploration Get your supplies Graph Paper Compass?

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.

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

Equations of Circles.

Circles in the Coordinate Plane

Polar Coordinates r Pole Polar axis.

Examples: Intro to Conics - Circles

Equations of Circles.

Notes Over 10.3 r is the radius radius is 4 units

10.6 Equations of Circles Geometry.

Lesson: 10 – 8 Equations of Circles

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

11.7 Circles in the Coordinate Plane

Equations of Circles.

Chapter 9 Section 8: Equations of Circles.

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

Circles in the Coordinate Plane

Equations of Circles Advanced Geometry.

10.7 Write and Graph Equations of ⊙s

Chapter Equations of Circles.

Presentation transcript:

9.6 Circles in the Coordinate Plane 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 (5,3) and whose radius is 6.

Write the equation of the circle that whose center is at (-2,4) and whose radius is 3.

Write the equation of the circle that whose center is at (-1,-6) and whose radius is 6.

Write the equation of the circle that whose center is at (0,4) and whose radius is 2.

Find the center and radius of the circle. Then write the equation of the circle. x y Center = Radius = (1,2) 3

Find the center and radius of the circle. Then write the equation of the circle. x y Center = Radius = (-1,0) 4

Find the center and radius of the circle. Then graph the circle. Center = Radius = (-1,3) 4 x y

Find the center and radius of the circle. Then graph the circle. Center = Radius = (-3,-2) 2 x y

Find the center and radius of the circle. Then graph the circle. Center = Radius = (4,1) 5 x y