Untitled Document

Jenni McIntire and Teresa Davis

This lab is to explore angle measures of angles inside a circle

Investigation:
In Sketchpad,, make the following construction.

Construct circle A.
Construct chords CD and EF and have them intersect at point G (make sure G is not on the center).
Measure angle CGE and its intercepted arc CE.

Do you see a relationship between these measures? What if we measure the vertical angle FGD and its intercepted arc FD?

measure of angle CGE = __________	measure of arc CE = __________
measure of angle FGD= __________	measure of arc FD= __________

Try adding, subtracting, multiplying and dividing the angles together and the arcs together to find a relationship.

Write your discovery without using angle FGD

Write a formula for finding the measure of an interior angle in a circle in relationship to the intercepted arcs.

Interior Angle = _____________________