Write all equations of the circle in STANDARD FORM

1. A gymnasium is circular in nature.You are currently standing 8m north and 12m east of its center(point of origin) and its planning to run in a circular manner. Write the equation of the circle representing the path that you'll running.

2.Ana and Arlene on a circular barn and are both at the endpoints of the diameter. They agree to meet at the center of the barn. If Ana is on coordinate (3,8) and Arlene is on coordinate(5,2),on what coodinate will they meet? Write the equation of the circle identified in this problem.

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