Geometry coordinates

Question

What are five coordinates that are ten units from pint 0,1

Answer 1

4 of them are easy: Just find the x and y values plus and minus 10

To get the 5th one, use the 3-4-5 right triangle. You want the distance to be 10, so that's the hypotenuse. Then the x and y distances will be 6 or 8 (plus or minus)

Plot everything on graph paper so it is easy to visualize

Answer 2

This creates a circle of radius 10, from the center of the circle, (0,1), so the equation of the circle

is (x-1)^2 + (y-0)^2 = 10^2

or

(x-1)^2 + y^2 = 100

If x=1, then y=10

x=2, then y = SQROOT(99)

x=3, then y = SQROOT(96)

etc.