[color=#980000][b]Questions: [/b][/color] [br][br][color=#000000]1) Suppose [i]P(x,y)[/i] = any point that lies on a circle with center (0,0) and radius [i]r[/i], where [i]r[/i] > 0. Use what you've observed to write an equation that expresses the relationship among [i]x[/i], [i]y[/i], and [i]r[/i]. (HINT: What famous theorem involving right triangles can be applied here?)[br][br]2) What is the equation of a circle with center (0,0) and radius [i]r[/i] = 9? [br][br]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?)[br][br][/color][br][br][br]