equations of circles
DESCRIPTION
Equations of Circles. Equation of a Circle. The center of a circle is given by (h, k) The radius of a circle is given by r The equation of a circle in standard form is (x – h) 2 + (y – k) 2 = r 2. Finding the Equation of a Circle. Circle A The center is (16, 10) - PowerPoint PPT PresentationTRANSCRIPT
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Equations of Circles
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Equation of a Circle
The center of a circle is given by (h, k)
The radius of a circle is given by r
The equation of a circle in standard form is (x – h)2 + (y – k)2 = r2
![Page 3: Equations of Circles](https://reader036.vdocuments.site/reader036/viewer/2022082611/56812d0f550346895d91e87b/html5/thumbnails/3.jpg)
Finding the Equation of a Circle Circle A
The center is (16, 10)
The radius is 10
The equation is (x – 16)2 + (y – 10)2 = 100
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Finding the Equation of a Circle
Circle B
The center is (4, 20)
The radius is 10
The equation is (x – 4)2 + (y – 20)2 = 100
![Page 5: Equations of Circles](https://reader036.vdocuments.site/reader036/viewer/2022082611/56812d0f550346895d91e87b/html5/thumbnails/5.jpg)
Finding the Equation of a Circle Circle O
The center is (0, 0)
The radius is 12
The equation is x 2 + y 2 = 144
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Graphing Circles
(x – 3)2 + (y – 2)2 = 9
Center (3, 2)
Radius of 3
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Graphing Circles
(x + 4)2 + (y – 1)2 = 25
Center (-4, 1)
Radius of 5
![Page 8: Equations of Circles](https://reader036.vdocuments.site/reader036/viewer/2022082611/56812d0f550346895d91e87b/html5/thumbnails/8.jpg)
Graphing Circles
(x – 5)2 + y2 = 36
Center (5, 0)
Radius of 6
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Writing Equations of Circles
Write the standard equation of the circle:
Center (4, 7) Radius of 5
(x – 4)2 + (y – 7)2 = 25
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Writing Equations of Circles
Write the standard equation of the circle:
Center (-3, 8) Radius of 6.2
(x + 3)2 + (y – 8)2 = 38.44
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Writing Equations of Circles
Write the standard equation of the circle:
Center (2, -9) Radius of
(x – 2)2 + (y + 9)2 = 11
11
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Writing Equations of Circles
Write the standard equation of the circle:
Center (0, 6) Radius of
x 2 + (y – 6)2 = 7
7
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Writing Equations of Circles
Write the standard equation of the circle:
Center (-1.9, 8.7) Radius of 3
(x + 1.9)2 + (y – 8.7)2 = 9