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Alg2 lesson 8-3

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Alg2 lesson 8-3

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