Notes Over 10.3Graphing an Equation of a CircleGraphing an Equation of a CircleStandard Equation of a Circle (Center at Origin)

222 ryx r is the radius

1622 yx

radius is 4 units

Notes Over 10.3Graphing an Equation of a CircleGraphing an Equation of a CircleGraph the equation. Give the radius of the circle.

4 .1 22 yx

4r 2r

Notes Over 10.3Graphing an Equation of a CircleGraphing an Equation of a CircleGraph the equation. Give the radius of the circle.

100 .2 22 yx

100r10r

Notes Over 10.3Graphing an Equation of a CircleGraphing an Equation of a CircleGraph the equation. Give the radius of the circle.

36 .3 22 yx

36r6r

Notes Over 10.3Graphing an Equation of a CircleGraphing an Equation of a CircleGraph the equation. Give the radius of the circle.

12 .4 22 yx

12r

5.3r

1 ,2 .5

Notes Over 10.3Writing an Equation of a CircleWriting an Equation of a CircleWrite the standard form of the equation of the circle that passes through the given point and whose center is the origin.

221 d 02 4 1 501

222 5 yx

522 yx

9 ,1 .6

Notes Over 10.3Writing an Equation of a CircleWriting an Equation of a CircleWrite the standard form of the equation of the circle that passes through the given point and whose center is the origin.

221 d 01 1 81 8209

222 82 yx

8222 yx

3 ,2 .7

Notes Over 10.3Writing an Equation of a CircleWriting an Equation of a CircleWrite the standard form of the equation of the circle that passes through the given point and whose center is the origin.

221 d 02 4 9 1303

222 13 yx

1322 yx

4 ,1 .8

Notes Over 10.3Writing an Equation of a CircleWriting an Equation of a CircleWrite the standard form of the equation of the circle that passes through the given point and whose center is the origin.

221 d 01 1 16 1704

222 17 yx

1722 yx

4 ,3 ;25 .9 22 yx

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

4

3per m

m 04

3

4

03 11 xxmyy

4y4

3 3x

4 ,3 ;25 .9 22 yx

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

4y4

3 3x

164 y 93 x2534 xy

y x4

3

4

25

1 ,1 ;2 .10 22 yx

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

1per m m 01

1

1

01 11 xxmyy

1y 1 1x

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

1y 1 1x

1y 1x

y x 2

1 ,1 ;2 .10 22 yx

2 ,2 ;8 .11 22 yx

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

1per m m 02

2

2

02 11 xxmyy

2y 1 2x

1

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

2y 2 x

y x 4

2y 1 2x

2 ,2 ;8 .11 22 yx

2 ,4 ;20 .12 22 yx

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

2per m m 02

4

2

04 11 xxmyy

2y 2 4x

2

1

Notes Over 10.3Finding a Tangent LineFinding a Tangent LineWrite an equation of the line that is tangent to the given circle at the given point.

2y 82 x

y x2 10

2y 2 4x

2 ,4 ;20 .12 22 yx

Notes Over 10.3