Circles: Introduction

unit objectives icon Unit Objectives

After you have completed this unit, you will be able to:

  1. Define and use the properties of radii and diameters of a circle
  2. Define and apply theorems about chords of circles to solve problems
  3. Define and apply theorems about secants of circles to solve problems
  4. Define and apply the theorems about tangents of circles to solve problems
  5. Apply properties of arcs to solve problems
  6. Apply properties of central angles to solve problems
  7. Apply properties of inscribed angles to solve problems
  8. Apply properties of angles made by chords, secants and tangents in circles  to solve problems
  9. Write the standard equation of a circle
  10. Write the equation of a transformed circle
  11. Graph circles on a coordinate plane
  12. Find the circumference of a circle
  13. Find the area of circle
  14. Find the arc length of a circle
  15. Find the area of a sector of a circle