1. Chapter 10 – Conic Sections 1) Circles 2) Parabolas 3) Ellipses 4) Hyperbolas

2. 1) Circles Form: Center(h, k) Radius = r

3. Ex: Find the center and radius of the circle and then sketch the graph:

4. Find the equation of the circle with a radius of 6 units and a center at (4, -2) Find the equation of a circle with a radius of 9 units and a center at (-5, -3). Find the equation of a circle with a center at (3, 1) and a solution point at (-6, 10) Find the equation of a circle with a center at (-6, -2) and a solution point at (1, -7)

5. Find the equation of a circle with endpoints of the diameter at (4, -1) and (7, 6). Find the equation of a circle with endpoints of the diameter at (-9, 6) and (10, 14) Find the equation of the circle with an area of 36 π and whose center is at the intersection of the lines 3x + 2y = 15 and 5x – 4y = -19.

6. The circumference of a circle is 48 π. Find the equation of the circle and the area of the circle if its center is given by the functions

7. Find the center, radius, area and circumference of each circle:

8. Find the intersection points of the following circles ◦ C(-3, 1) r = 3 ◦ C(2, 1) r = 6