What is the center & radius, given the equation
Write the equation, given radius and center
Write the equation, given other information
Is the point on, in or outside the circle?
Write equation by completing the square
100

(x-2)2+(y-5)2=92, the center point and radius of the circle are..

(2,5) r=9

100

The center is (1,-3) and the radius is 2

(x-1)+ (y+3)= 4

100

Center: (2, −5) Point on Circle: (−7, −1)

(x − 2)2 + (y + 5)2 = 97

100

x2 + y2 = 64  Point: (0, −9)

Outside

100

x2+ 8x +y2 − 2y = 64

(x+4)2 + (y-1)2 = 81

200

(x-3)2+(y-4)2=25, the center point and radius of the circle are..

(3,4) r=5

200

The center is (2,-1) and the radius is 4..

(x-2)2 + (y+1)2 = 16

200

Center: (14, 17) Point on Circle: (15, 17)

(x − 14)2 + (y − 17)2 = 1

200

(x-1)2 + (y-3)2 = 36  Point: (4, 7)

Inside

200

x2 + 2x + y2 - 10y = 55

(x + 1)2 + (y − 5)2 = 81

300

(x+8)2+(y+17)2=49, the center point and radius of the circle are..

(-8,-17) r=7

300

The center is (1,-4) and the diameter is 6..

(x-1)2 + (y+4)2 = 9

300

Ends of a diameter: (−17, −9) and (−19, −9)

(x + 18)2 + (y + 9)2 = 1

300

x2 + y2 + 10x − 4y = 140  Point: (7, −3)

On

300

y2 + 2x + x2 = 24y − 120

(x + 1)2 + (y − 12)2 = 25

400

(x-2)2+(y+5)2=289, the center point and radius of the circle are..

(2,-5) r=17

400

The center is (0,3) and the radius is √14

x2 + (y-3)2 = 14

400

Ends of a diameter: (−3, 11) and (3, −13)

x2 + (y + 1)2 = 153

400

x2 + y2 − 6x − 10y + 16 = 0 Point: (6, 2)

On

400

x2 + y2 + 14x − 12y + 4 = 0

(x + 7)2 + (y − 6)2 = 81

500

(x-1)2+(y-2)2=20, the center point and radius of the circle are..

(1,2) r=2sqrt(5)

500

The center is (13,-13) and the diameter is 8√2

(x − 13)2 + (y + 13)2 = 32

500

Center: (−2, 12) Tangent to x = −5

(x + 2)2 + (y − 12)2 = 9

500

x2 + y2 + 2x + 8y − 13 = 0  Point: (−4, 1)

Outside

500

8x + 32y + y2 = −263 − x2 

(x + 4)2 + (y + 16)2 = 9

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