All about circle A circle is a set

All about circle

A circle is a set of points in the xy-plane that are a fixed distance r from a fixed point (h, k). The fixed distance is called the radius, and the fixed point (h, k) is called the center of the circle. y (x, y) r Center: (h, k) x

The standard form of an equation of a circle with radius r and center (h, k) is

Find the Equation of the Circle (-5, 3) (-1, 7) y (3, 3) (-1, 3) x (-1, -1) 2 2 (x+1) +(y-3) =16

The general form of the equation of a circle

Find the center and the radius of First group terms:

Add appropriate terms to complete the squares for x and for y.

Writing the equation of a circle given its center and a point on the circle The point(-6, 4)lies on a circle whose center is at (-5, 0) . Find the equation of this circle. Distance Formula: The distance between the points P and Q is 2 2 (x+5) + y = 17

Writing the equation of a circle given the endpoints of a diameter Find the equation of the circle whose diameter has endpoints (2, 3) and (-2, -5) . 2 2 x + (y-1) = 29

Classwork Write the Equation of the circle with the given center and radius: 1. (0, 0), 10 2. (-4, -6), 7 3. (2, 3), 4. 5 4. (-6, 10), 1 Graph and find the center and radius of the following circle 1. x 2 + y 2 =4 2. x 2 + (y+1)2 =9 3. (x+5)2 + y 2 =81 4. (x+2)2 + (y+4)2 =25