Equation of Circle Midpoint and Endpoint Distance Slope 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50.

Slides:

Advertisements

Similar presentations

Notes Over 10.3 r is the radius radius is 4 units

Advertisements

Circles Write an equation given points

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

Given three points of a circle: (-1,1), (7,-3), (-2,-6).

©thevisualclassroom.com (2,4) (12, 8) 2.7 Determining the Midpoint of a Line Segment (7,6) Find the midpoint between the points (2, 4) and (12, 8) 2 12.

Distance and Midpoint Formulas; Circles

Distance formula 1. 1 Slope 2 2 Midpoint Formula 3.

3.4 Area and Circumference 1 Circle A circle is a plane figure that consists of all points that lie the same distance from a fixed point. The fixed point.

Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Distance and Midpoint Formulas; Circles.

Keystone Geometry Unit 7

CIRCLES Topic 7.3.

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.

Distance and Midpoint Graphing, Symmetry, Circles Solving.

Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.

Pre-Calculus Lesson 1: Algebra Revisited Formulas, definitions, and methods from Algebra 1.

Lesson 11.1 Parts of a Circle Pages Parts of a Circle A chord is a segment whose endpoints are points on a circle. A diameter is a chord that.

1-5: USING FORMULAS IN GEOMETRY. PERIMETER & AREA RectangleSquareTriangle P = 2l + 2w or 2(l + w) A = lw P = 4s A = s 2 P = a + b + c A = ½ bh.

LESSON 7.6 AREA AND CIRCUMFERENCE OF CIRCLES OBJECTIVE: To use formulas for the circumference and area of circles.

Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Distance and Midpoint Formulas; Circles.

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.

Math 1B Unit 7 Part 1. Pythagorean TheoremCirclesMidpointSlope Parallel and PerpendicularSystems

Aim: Review the distance and midpoint Do Now: in the triangle, find the lengths of two legs (-2,4) (3,6) (3,4)

Find the equation of the line with: 1. m = 3, b = m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.

Topic 5-1 Midpoint and Distance in the Coordinate plan.

12.4 The Distance Formula Objectives: Use the distance formula to find the distance between 2 points in a coordinate plane. Determine whether a triangle.

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.

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.

Conics Review Study Hard!. Name the Conic without graphing and write it in standard form X 2 + Y 2 -4Y-12=0.

8.3: Circles Write equations of circles Graph circles.

1.1 and 1.5 Rectangular Coordinates and Circles Every man dies, not every man really lives. -William Wallace.

LESSON 10-4 Equations of Circles

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.

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.

Sec 1.8 Circles Objectives: To understand the distance and midpoint formulas. To understand the equations of circles and their graphs.

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

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.

Circle Equations. Definitions Circle: The set of all points that are the same distance from the center Radius: a segment whose endpoints are the center.

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

Distance On a coordinate plane Finding the length of a line segment.

CIRCLES Topic 7.3.

Distance and Midpoints

Distance and Midpoint Formulas

Section 10.1 – The Circle.

Section 2.8 Distance and Midpoint Formulas; Circles

CIRCLES Topic 10.2.

Coordinate Plane Sections 1.3,

Distance and Midpoint Formulas; Circles

Circles 4.1 (Chapter 10). Circles 4.1 (Chapter 10)

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

Geometry Unit 12 Distance and Circles.

Section 1.9 Distance and Midpoint Formulas; Circles

9.3 Graph and Write Equations of Circles

Circles in the Coordinate Plane

Chapter 1 Test Review.

Review Unit 6 Test 1.

Find the center and radius of a circle with equation:

Parts, Circumference, Area

The Distance & Midpoint Formulas

Circles in the Coordinate Plane

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

CIRCLES Topic 7.3.

CIRCLES Topic 7.3.

CIRCLES Topic 7.3.

Presentation transcript:

Equation of Circle Midpoint and Endpoint Distance Slope

Topic 1 – 10 Points QUESTION: What is slope formula? ANSWER:

Topic 1 – 20 Points QUESTION: What is most likely the slope of the following graph? ANSWER: 2

Topic 1 – 30 Points QUESTION: Determine the slope of that contains A(-2,2) and B(3,0). ANSWER:

Topic 1 – 40 Points QUESTION: Determine the slope of the line that contains (-9, 7) and (5, 7). ANSWER: Zero

Topic 1 – 50 Points QUESTION: Determine the slope of the line that contains (-2, -4) and (-2, 4). ANSWER: Undefined

Topic 2 – 10 Points QUESTION: What is the distance formula? ANSWER:

Topic 2 – 20 Points QUESTION: Determine the distance between the points A(-5,7) and B(2,1)? ANSWER:

Topic 2 – 30 Points QUESTION: Determine the distance of ANSWER:

Topic 2 – 40 Points QUESTION: What is the length of the diagonal ? ANSWER:

Topic 2 – 50 Points QUESTION: What is the length of the diameter of a circle if C(-5,3) and D(5,-3) are endpoints of the diameter? ANSWER: Diameter is 10 units

Topic 3 – 10 Points QUESTION: What is the midpoint formula? ANSWER:

Topic 3 – 20 Points QUESTION: Determine the coordinates of the Midpoint of ANSWER: (-1, ½)

Topic 3 – 30 Points QUESTION: What is the point of intersection of and ? ANSWER: (4.5, 1 )

Topic 3 – 40 Points QUESTION: Segment CD has an end point at (-4,4). If the midpoint of the segment is (-2,2), what are the coordinates of the point at the other end of the segment? ANSWER: (0,0)

Topic 3 – 50 Points QUESTION: A segment with end points E(-4,1) and (8,1) is the diameter of a circle. Where is the center of the circle? ANSWER: (2,1)

Topic 4 – 10 Points QUESTION: What is the equation of the circle? ANSWER: (x – h) 2 + (y – k) 2 = r 2

Topic 4 – 20 Points QUESTION: What are the coordinates of the center and radius of a circle represented by the equation (x+5) 2 + (x-7) 2 =25? ANSWER: Center: (-5, +7) radius 5

Topic 4 – 30 Points QUESTION: Write an equation for a circle with center (6,-10) and diameter 8. ANSWER: (x – 6) 2 + (y + 10) 2 = 16

Topic 4 – 40 Points QUESTION: Which is the equation of the following graph? ANSWER: x 2 + y 2 = 9

Topic 4 – 50 Points QUESTION: A circle whose center is at (1,-3) passes through (7, 5). What is the equation of the circle? ANSWER: (x – 1) 2 + (y + 3) 2 = 100