A 9-sided "circle" is an nonagon or enneagon.
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In a circle that has a radius of one you use Pythagorean theorem to derive the sine, cosine and tangent formulas. Draw a circle around the origin on graph paper. The sine is the line segment from the point where the side of the angle intersects down to the x-axis. etc.
A tangent is a straight line that touches a circle's circumference at one point
a semi-circle only has one line of symmetry
The Arc of a circle is that part of the circumference between two radii.
A radian is part of the circumference of a circle and its length is the same size as the circle's radius and it is about 57.3 degrees.