# 12-5 Circles in the Coordinate Plane

## Presentation on theme: "12-5 Circles in the Coordinate Plane"— Presentation transcript:

12-5 Circles in the Coordinate Plane

Theorem 12-13 An equation of a circle with center (h,k) and radius r is (x - h)2 + (y - k)2 = r2 “standard form”

Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - h)2 + (y - k)2 = r2

Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y - k)2 = r2

Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y – (-1))2 = r2

Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y – (-1))2 = 32

Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y +1)2 = 32

Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y +1)2 = 9

Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3). (x-4)2 + (y+1)2 = 25

Today’s Assignment P. 697 #1-21 (do not graph!)