Lesson 2: Equations of circles, arcs and chords.
SOL: Standard G.11
The student will use angles, arcs, chords, tangents, and secants to
a) investigate, verify, and apply properties of circles;
b) solve real-world problems involving properties of circles; and
c) find arc lengths and areas of sectors in circles.
The student, given the coordinates of the center of a circle and a point on the circle, will write the equation of the circle.
The Student Will Be Able To:
- Recognize and use relationships between arcs and chords.
- Recognize and use relationships between arcs, chords, and diameters.
- Write the equation of a circle.
- Graph a circle in the coordinate plane.