A Flashlight

Introduction

The angles standing on the same arc of a circle and in the same segment are equal.
Refer to Angles standing on the same arc.
If two inscribed angles are equal, what is the relation between the two arcs?

Applet

  • Drag the red point to change the direction of the light. Does the number of the smiling faces change by the direction of the light?

  • Press "+" or "-" button to change the angle of the light. Find the relation between the angle and the number of the smiling faces.