notes over 10.3 graphing an equation of a circle standard equation of a circle (center at origin) r...
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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
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