Date: 11.8(b) Notes: Circle on the Coordinate Plane Lesson Objective: Write equations of circles CCSS: G.GPE.1, 6 You will need: compass Real-World App:

Slides:



Advertisements
Similar presentations
12-5 Circles in the Coordinate Plane
Advertisements

Objectives Write equations and graph circles in the coordinate plane.
Notes Over 10.3 r is the radius radius is 4 units
CIRCLES Unit 3-2. Equations we’ll need: Distance formula Midpoint formula.
Circles Date: _____________.
[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.
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.
GeometryGeometry Lesson 75 Writing the Equation of Circles.
Equations of Circles 10.6 California State Standards 17: Prove theorems using coordinate geometry.
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.
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)
10.3 C IRCLES. A is the set of all points in a plane that are equidistant from a given point in the plane called the. is a point on the circle is the.
Unit 1 – Conic Sections Section 1.2 – The Circle Calculator Required.
Making graphs and solving equations of circles.
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.
Section 1.5: Circles Definition circle: Set of points a fixed distance from a center point. Definition radius: Distance from center to any point.
11.5: Circles in the Coordinate Plane
Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Distance and Midpoint Formulas; Circles.
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.
12.5 Circles in the Coordinate Plane
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.
8.3: Circles Write equations of circles Graph circles.
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.
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.
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 =
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.
Concept. Example 1 Write an Equation Given the Radius LANDSCAPING The plan for a park puts the center of a circular pond of radius 0.6 mile at 2.5 miles.
Sect Circles in the Coordinate Plane Geometry Honors.
Equation of a Circle. Equation Where the center of the circle is (h, k) and r is the radius.
Date: 12.5(b) Notes: Volume of Cones Lesson Objective: Find the volume of cones. CCSS: G.GMD.1, 3 You will need: ruler Real-World App: What is the volume.
Equation of Circle Midpoint and Endpoint Distance Slope
Holt McDougal Geometry 12-7 Circles in the Coordinate Plane 12-7 Circles in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Holt Geometry 11-7 Circles in the Coordinate Plane 11-7 Circles in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
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.
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.
10-8 Equations of Circles 1.Write the equation of a circle. 2.Graph a circle on the coordinate plane.
Date: 9.1(a) Notes: The Ellipse Lesson Objective: Graph and write the equa- tions of ellipses in standard form. CCSS: G.GPE.3 You will need: colored pens.
Circles March 18th A ___________ is the set of all point that are a fixed distance, called the _________ from a fixed point, called the _________.
1.9 Notes: Circles Lesson Objective: Recognize characteris- tics of and graph circles. CCSS: F.BF.3 Build new functions from existing functions. This.
Equations of Circles.
Warm-Up Find the values of x and y..
Circles in the Coordinate Plane
Equations of Circles.
Section 10.1 – The Circle.
Notes Over 10.3 r is the radius radius is 4 units
Lesson: 10 – 8 Equations of Circles
Circles 4.1 (Chapter 10). Circles 4.1 (Chapter 10)
What is a radius of a circle? What about the diameter?
11.7 Circles in the Coordinate Plane
Circles.
10.8 Day 2 Extension.
Equations of Circles.
Circles in the Coordinate Plane
Lesson 10-3: Circles.
LT 11.8: Write equations and graph circles in the coordinate plane.
Circles in the Coordinate Plane
Circles in the Coordinate Plane
Warmup Find the distance between the point (x, y) and the point (h, k).
Warmup Find the distance between the point (x, y) and the point (h, k).
Chapter Equations of Circles.
Presentation transcript:

Date: 11.8(b) Notes: Circle on the Coordinate Plane Lesson Objective: Write equations of circles CCSS: G.GPE.1, 6 You will need: compass Real-World App: Can Consuela get free pizza delivery?

This is Jeopardy!!!:

Lesson 1: Writing Equations of Circles Write the equation for the following circles using the equation (x – h) 2 + (y – k) 2 = r 2. A. ʘ that passes through (4, 6) and has center (-1, 8).

Lesson 1: Writing Equations of Circles B. ʘ with a diameter that has endpoints (2, 0) and (-6, -6).

Lesson 2: Real Life App – Free Delivery? Pizza and Subs offers free delivery within 6 miles of the restaurant. The restaurant is loca- ted 4 miles west and 5 miles north of Consuela’s house. Write and graph an equation to represent this situa- tion if her house is at the origin of the coor- dinate system. Can she get free delivery?

11.8(b): Do I Get It? Yes or No 1.Write the equation for a ʘ that passes through (-6, 7) and has center (-2, 4). Give the measure of the radius then graph the circle. 2.Write the equation for a ʘ that has a dia- meter with endpoints (-3, 4) and (3, 4). State the coordinates of the center and the measure of the radius. Then graph the circle.