# Where to Sit (II)?

- Author:
- Tim Brzezinski

**Note:**This applet immediately follows the investigation found here. Directions appear below the applet.

**Directions:**1) Plot a

**point**on the

*C***green arc**in the applet above. 2) Construct ray

*CA*and ray

*CB.*3) Find and display the measure of angle

*BCA*.

4) Now, drag **point C **along the

**green arc**. What do you notice?

*5) Is there truly a "best" place to sit on this circle in order to have the "best" viewing angle? Explain. *

6) Now, construct ray

*OB*and*OA*. 7) Find and display the measure of angle*BOA*. 8) In the applet above angle*BCA*is called an inscribed angle. You already know that angle*BOA*is called a central angle. Both this inscribed angle and central angle**intercept the same arc!**9) Do you notice a relationship among the measure of angle *BCA *(inscribed angle) and the measure of angle *BOA* (central angle)? If so, describe.

10) Does this relationship change if **point C** is moved to any location on the **green arc**?