Learn how to write the equation of a circle in standard form as well as how to graph circle equations and inequalities in this video by Mario's Math Tutoring. We go through how to derive the equation for a circle as well as going through numerous example problems.
Jump to Section of this Video:
0:12 Standard form of the Equation of a Circle
0:44 Definition of a Circle and Deriving the Equation of a Circle
2:19 Example a Graph x^2 + y^2 = 25
2:58 How to graph a circle inequality
3:48 Example b Graph (x-2)^2 + (y+3)^2 = 4
4:23 Example c Write the Equation Given Center(0,-4) radius 6
4:53 Example d Word problem involving tangent line to a circle
7:01 Example 1 Graph x^2 + y^2 = 1
7:40 Example 2 Graph (x+5)^2 + y^2 = 9
8:19 Example 3 Write the Equation given Center (0,3) radius sq.rt.5
8:57 Example 4 Word Problem Find Equation of Tangent Line to Circle
10:41 Example 5 Write the Standard Form of the Circle by Completing the Square x^2 +y^2 - 2x + 6y -10 = 0
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