Circle Equation: Center (0,0)
Questions:
1) 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. (HINT: What famous theorem involving right triangles can be applied here?)
2) What is the equation of a circle with center (0,0) and radius r = 9?
3) What is the equation of a circle with center (0, 0) passing the point (3, 4)? (HINT: How can we use our given information to find our radius?)