
3.3 Equation of a Circle Day 1
Presentation
•
Mathematics
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10th Grade
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Practice Problem
•
Medium
Lilibeth Villaran
Used 6+ times
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23 Slides • 12 Questions
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By Lilibeth Villaran
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I can
Lesson 3: Equation of a Circle
Illustrate the center-radius form of the equation of a circle
Determine the center and radius of a circle given its equation and vice versa
solve problem involving circle
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Open Ended
What makes a circle unique?
Think about the shape and properties of a circle.
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A set of points that is equidistant from a fixed point called the center.
Definition
Lesson 3: Equation of a Circle
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Lesson 3: Equation of a Circle
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Lesson 3: Equation of a Circle
Identify the center and radius of the given circle.
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Lesson 3: Equation of a Circle
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Lesson 3: Equation of a Circle
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Lesson 3: Equation of a Circle
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Multiple Choice
What is the standard form of the equation of the circle whose center is at (5, 6) and the radius is 4?
(x+5)2+(x+6)2=16
(x−5)2+(y−6)2=16
(x−5)2+(y−6)2=4
(x+5)2+(x+6)2=4
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Multiple Choice
What is the standard equation of a circle whose center is at (-3,4) and the radius is 7?
(x+3)2+(y−4)2=49
(x−3)2+(y+4)2=49
(x−3)2+(y+4)2=7
(x+3)2+(y−4)2 =7
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Multiple Choice
What is the center-radius form of a circle with a radius of 12 and center at (-3, -5)?
(x−3)2+(x−5)2=12
(x−3)2+(y−5)2=144
(x+3)2 +(x+5)2=144
(x+3)2+(y+5)2=12
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Multiple Choice
Write the standard form of the equation of the circle with radius of 6 and center at (8, 0).
(x−8)2+y2=6
(x−8)2+y2=36
(x−8)2+y=6
(x−8)2+y2=6
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Multiple Choice
What is the center-radius form of a circle with a diameter of 20 units and a center at (-1, 1)?
(x+1)2+(y−1)2=400
(x−1)2+(y+1)2=400
(x−1)2+(y+1)2=100
(x+1)2+(y−1)2=100
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Lesson 3: Equation of a Circle
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Lesson 3: Equation of a Circle
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center (h,k)
radius
Lesson 3: Equation of a Circle
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center (h,k)
radius
Lesson 3: Equation of a Circle
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center (h,k)
radius
Lesson 3: Equation of a Circle
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Lesson 3: Equation of a Circle
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Multiple Choice
What is the center and radius of a circle with equation of (x−6)2+(y+1)2=81 ?
C(-6, 1) and r= 81
C(-6,1) and r=9
C (6,-1) and r=9
C(6, -1) and r=81
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Multiple Choice
What is the radius and center of a circle with an equation of x2 + y2=5
C(1,1) and r=5
C(0,0) and r= 5
C(0,0) and r= 5
C(0,0) and r = 25
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Multiple Choice
Find the radius and center of a circle with equation of x2+(y+4)2=10
C(0, 4) and r= 10
C(0,-4) and r=100
C(1, 4) and r= 10
C (0, -4) and r= 10
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The next questions will be tricky. Let's go!
Lesson 3: Equation of a Circle
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Multiple Choice
Write the equation of the circle in standard form.
(x−1)2+(y−1)2=5
(x−1)2+(y−1)2=16
(x−1)2+(y−1)2=25
(x+1)2+(y+1)2=4
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Multiple Choice
Find the center-radius form of the equation of the circle.
(x+2)2+(y−1)2=8
(x−2)2+(y−1)2=64
(x−2)2+(y+1)2=64
(x+2)2+(y−1)2=64
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Multiple Choice
What is the equation of the circle in standard form?
x2+y2=15
x2+y2=125
x2+y2=225
x2+y2=0
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Lesson 3: Equation of a Circle
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Some text here about the topic of discussion.
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Some text here about the topic of discussion.
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Some text here about the topic of discussion.
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Some text here about the topic of discussion
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Some text here about the topic of discussion
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Please answer and submit in the class notebook.
Lesson 3: Equation of a Circle
Module 3 Activity 7
Module 3 Activity 8
Module 3 Activity 9
Due on April 8, 2022
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Lesson 3: Equation of a Circle
By Lilibeth Villaran
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