you know the equation of circle.
x^2+y^2=r^2
how do you use that equation to graph a circle on a graphing calculator
-for ex,- the "y=" form of that equation
2007-10-26 10:51:17 · 6 answers · asked by shish_101 3 in Science & Mathematics ➔ Mathematics
the square root of (r^2-x^2) and -(the square root of(r^2-x^2)
you need 2 lines to do it because the equation of a circle isn't a function because it fails the vertical line test.
2007-10-26 10:55:55 · answer #1 · answered by Greg D 2 · 0⤊ 0⤋
a little bit of algebraic manipulation.
move y^2 to one side:
y^2 = r^2 - x^2
take sqrt.
y = sqrt (r^2 - x^2) whatever r and x is, plug in
then put in the second "y=" the opposite and the whole circle should appear on the calculator.
2007-10-26 17:56:11 · answer #2 · answered by Lakers Too Good 4 · 0⤊ 0⤋
x² + y² = r²
Solve for y
y = ±â(r² - x²)
Graph both:
Y = â(r² - x²)
Y = -â(r² - x²)
Press zoom and select zsquare
so the graph looks like a circle and not an ellipse
2007-10-26 18:06:21 · answer #3 · answered by Marvin 4 · 0⤊ 0⤋
y = sqrt(r^2 - x^2) and make sure it show both +/- results
2007-10-26 17:54:39 · answer #4 · answered by norman 7 · 0⤊ 0⤋
y=-x+r
2007-10-26 17:54:38 · answer #5 · answered by ASHLEY :D 2 · 0⤊ 0⤋
y = â(r²-x²)
â©
2007-10-26 17:55:57 · answer #6 · answered by Barkley Hound 7 · 0⤊ 0⤋