Circle Equation: Center (0,0)
For the questions below, be sure to zoom out if you need to!
1.
Suppose P(x,y) = any point that lies on a circle with center (0,0) and radius 5. Use what you've observed to write an equation that expresses the relationship among x, y, and r.
2.
What is the equation of a circle with center (0,0) and radius r = 9?
3.
Suppose another circle has center (0,0). Suppose this circle also passes through the point (12, -5). Write the equation of this circle.
4. FINAL QUESTION:
Suppose P(x,y) = any point that lies on a circle with center (0,0) and radius r, where r > 0. Use what you've observed to write an equation that expresses the relationship among x, y, and r.