How to define circumscribed and inscribed circles and polygons relative to each other.
How to calculate the measure of an inscribed angle.
How to calculate the area between a square and an inscribed circle.
How to find the length of tangent segments drawn to a circle from the same point.
How to derive the formula to calculate the area of a circle.
How to derive the equation for a circle using the distance formula.
How to define a circle and identify its main parts.
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
How to define a circle and a sphere using the word locus.
How to prove that opposite angles in a cyclic quadrilateral are congruent; how to prove that parallel lines create congruent arcs in a circle.
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
How to define a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
How to define perimeter and calculate it for squares, rectangles, and circles.
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
How to derive the formula to calculate the area of a sector in a circle.
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
How to calculate the circumference of a circle.
How to prove the surface area of a cylinder formula.
How to derive the formula for the area of an annulus.
How to calculate the surface area of any cone explaining lateral surface area.