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# Alg2 lesson 8-3

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### Alg2 lesson 8-3

1. 1. Find the equation of thecircle with radius 3 that iscentered at the origin (x, y) x2 + y2 = 32 3 y x x2 + y2 =9
2. 2. Find the equation of thecircle with radius r that iscentered at the origin (x, y) x2 + y2 = r2 r y x
3. 3. Find the equation of thecircle with radius r that iscentered at (h, k) (x, y)(x- h)2 + (y-k)2 = r2 r y-k (h, k) x-h
4. 4. Write an equation for the circle with center (5,3)and radius 4 (h, k) (x- h)2 + (y-k)2 = r2 (x - 5)2 + (y - 3)2 = 42 (x - 5)2 + (y - 3)2 = 16
5. 5. Write an equation for a circle if the endpoints of thediameter are at (2, 8) and (2, –2).(x- h)2 + (y-k)2 = r2 (2,8) (2,3)
6. 6. Write an equation for a circle with center at (3, 5) thatis tangent to the y-axis. (h, k)(x - h)2 + (y - k)2 = r2(x - 3)2 + (y - 5)2 = r2 3
7. 7. Find the center and radius of the circle with equation Then graph the circle. (x- h)2 + (y-k)2 = r2Center: (–3, 0)Radius: 4
8. 8. Find the center and radius of the circle with equation Then graph the circle.x2 + 8x + 16 + y2 – 4y + 4 = -11 + 16 + 4(x + 4)2 + (y – 2)2 = 9 Center: (–4, 2) Radius: 3(x- h)2 + (y-k)2 = r2