1. Find the distance from the origin to the center of the circle whose diameter has endpoints (6,5) and (2,1). 2. Circle 1 has a diameter with endpoints (−6, 5) and (−8, 9). Another circle has its center at one of the endpoints and its endpoint at the center of circle 1. Find all the equations of the possible circles that fit the description.
3. Find the x-intercept and y-intercept of:
a) x^2 + y^2 = 36 b) x^2 + y^2 = 49 c) x^2 + y^2 = 0.04
4. Determine if the point is on, inside, or outside the circle x^2 + y^2 = 45. Explain your reasoning:
a) (6,-3) b) (-1,7) c) (-3,5)