Problem: Given any 3 non-collinear points, find the equation of the circle that contains them.
1. You need to select 3 non-collinear points, to use in the solution. The first point will be in quadrant 1, so choose a point with x and y coordinates between 5 and 25 first point:(___,___)
2. Let the 2nd point be in quadrant 2, again with values between 5 and 25, or -5 and -25, but select different values than you did for the first point
second point: (____,____)
3. Your 3rd point can be in quadrant 3 or 4. use the range of values as above, but again make sure the values are different from the first two points.
third point: (____,____)
4. Create a scatter plot
5. Location of mid-point between first and second point
x=_______ y=______
6. Location of mid-point between second and third point
x=_______ y=______
7.Equation of the perpendicular bisector of the line segment between the first and second point.
Y=_______
8.Equation of the perpendicular bisector of the line segment between the second and third point.
Y=_______
9. Center (___,___) rounded to 0.001
10. radius of the circle (rounded to 0.001)
r=_______
11. Equation of the circle
__________________
1 answer
1 answer