(12) Circles. The student uses the process skills to understand geometric relationships and apply theorems and equations about circles. The student is expected to:
(A) apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems;
(B) apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems;
(C) apply the proportional relationship between the measure of the area of a sector of a circle and the area of the circle to solve problems;
(D) describe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle; and
(E) show that the equation of a circle with center at the origin and radius r is x2 + y2 = r2 and determine the equation for the graph of a circle with radius r and center (h, k), (x – h)2 + (y – k)2 =r2.