TEKS: Chapter 111. Mathematics See All Teacher Resources
111.41.c.12
(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.