Equations of Circles - Notes (1).pptx

8/19/2019 Equations of Circles - Notes (1).pptx

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Equations of Circles


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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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"inding the Equation of aCircle

Circle #

The center is ($%,

$&)

The radius is $&

The equation is(x – $%)2 (y – $&)2 ! $&&


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Circle '

The center is (, 2&)

The radius is $&

The equation is

(x – )2 (y – 2&)2 ! $&&


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Circle

The center is (&, &)

The radius is $2

The equation isx 2 y 2 ! $


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*ra+hing Circles

(x – )2 (y – 2)2 ! -

Center (, 2)

.adius of


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*ra+hing Circles

(x )2 (y – $)2 ! 2/

Center (0, $)

.adius of /


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*ra+hing Circles

(x – /)2 y2 ! %

Center (/, &)

.adius of %


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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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Center (0, 4) .adius of %52

(x )2 (y – 4)2 ! 45


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Center (2, 0-) .adius of

(x – 2)2 (y -)2 ! $$

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Center (&, %) .adius of

x 2 (y – %)2 ! 3

7


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Center (0$5-, 453) .adius of

(x $5-)2 (y – 453)2 ! -

Equations of Circles - Notes (1).pptx

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