There are half a dozen or so circle theorems, each with a different formula. It is not easy to learn the formulae without some understanding of these theorems.
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A circle does not have any angles.
None. A circle has no angles: it comprises a smooth curve.
A circle has an infinite number of angles of rotational symmetry.
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.
There are 360 degrees around a circle