equations of circles - notes (1).pptx
TRANSCRIPT
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8/19/2019 Equations of Circles - Notes (1).pptx
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Equations of Circles
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8/19/2019 Equations of Circles - Notes (1).pptx
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Equation of a Circle
The center of a circle isgiven by (h, k)
The radius of a circle isgiven by r
The equation of a circlein standard form is(x – h)2 (y – k)2 ! r2
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8/19/2019 Equations of Circles - Notes (1).pptx
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"inding the Equation of aCircle
Circle #
The center is ($%,
$&)
The radius is $&
The equation is(x – $%)2 (y – $&)2 ! $&&
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8/19/2019 Equations of Circles - Notes (1).pptx
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"inding the Equation of aCircle
Circle '
The center is (, 2&)
The radius is $&
The equation is
(x – )2 (y – 2&)2 ! $&&
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8/19/2019 Equations of Circles - Notes (1).pptx
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"inding the Equation of aCircle
Circle
The center is (&, &)
The radius is $2
The equation isx 2 y 2 ! $
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8/19/2019 Equations of Circles - Notes (1).pptx
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*ra+hing Circles
(x – )2 (y – 2)2 ! -
Center (, 2)
.adius of
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8/19/2019 Equations of Circles - Notes (1).pptx
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*ra+hing Circles
(x )2 (y – $)2 ! 2/
Center (0, $)
.adius of /
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8/19/2019 Equations of Circles - Notes (1).pptx
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*ra+hing Circles
(x – /)2 y2 ! %
Center (/, &)
.adius of %
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8/19/2019 Equations of Circles - Notes (1).pptx
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1riting Equations of Circles
1rite the standard equation of thecircle
Center (, 3) .adius of /
(x – )2 (y – 3)2 ! 2/
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8/19/2019 Equations of Circles - Notes (1).pptx
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1riting Equations of Circles
1rite the standard equation of thecircle
Center (0, 4) .adius of %52
(x )2 (y – 4)2 ! 45
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8/19/2019 Equations of Circles - Notes (1).pptx
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1riting Equations of Circles
1rite the standard equation of thecircle
Center (2, 0-) .adius of
(x – 2)2 (y -)2 ! $$
11
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8/19/2019 Equations of Circles - Notes (1).pptx
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1riting Equations of Circles
1rite the standard equation of thecircle
Center (&, %) .adius of
x 2 (y – %)2 ! 3
7
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8/19/2019 Equations of Circles - Notes (1).pptx
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1riting Equations of Circles
1rite the standard equation of thecircle
Center (0$5-, 453) .adius of
(x $5-)2 (y – 453)2 ! -