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You find the arc measure and then you divide it in half to find the inscribed angle
No they do not unless it is a circle with radius (180/pi) and the angles are measured in degrees, or a circle with radius (1/pi) and the angles are measured in radians.
Yes all inscribed angles in a circle have their vertex on the circumference of the circle. Central angles have their vertex at the center of the circle.
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
yes