
Equation of a Circle when the origin is the center of the circle
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Introduction to a Circles
The video defines a circle, and explains how to use the equation of a circle when the origin is the center of the circle.
Video Guide
00:28 Definition of Circle
00:40 Drawing a circle
01:18 Radius of a circle defined
01:20 Diameter defined
01:48 Explanation of equation of a circle
02:42 Example problem Write the equation of circle with radius of 6 and origin (0,0)
03:53 Graphing the solution
04:36 Sample problem: Write the equation of a circle with origin (0,0) and a point (3,4) on the circle
05:14 Finding the radius using the distance formula
06:10 Solution to sample problem
07:21 Sample problem: Write the equation of a circle with an origin of (0,0) and points (6,1 )
08:06 Using Pythagorean theorem to find radius
08:51 Answer to sample problem
09:10 Sample problem: Does the points (5,5) fall in or out of a circle?
10:49 Using Pythagorean Theorem to see if the point falls in or out of the circle
14:20 Using distance formula to see if the point falls in or out of a circle
You may also enjoy...
Equation of a Circle
https://www.youtube.com/watch?v=HjN9TTRrQiA
Equations of Circles: Graphing and writing
https://www.youtube.com/watch?v=9XZAUgPv23E
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