Investigating Geometry: Circles

Henrico County Public Schools

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May 2006

Lesson 8-5: Angle Formulas

Interactive Applet
Video Lecture

Objective:

SOL G.11 a,b: 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.

 Applet Directions Close 
  1. Four points on the circumference of a circle are joined to form a quadrilateral. This is called a cyclic quadrilateral.

  2. Move the brown points to change the size of the circle.

  3. Move the black squares to change the figure.

  4. What are the relationships between the angles in a cyclic quadrilateral?
  Hands-On Activities Close 
  1. Chord Angles

  2. Secants & Tangent Angles
  Other Web Sites Close 
  1. Glencoe: On Line Quiz
  2. E-Z Geometry: Secants and Tangents

  3. Glencoe: Secants and Tangents : On Line Quiz
 Puzzle & Problems tangram Close 

A clock with hour and minute hands are set at 4:00 P.M. What is the measure of the minor arc formed by the two hands? If the hands advance to 4:30 PM, what angle will be formed by the two hands?

clock