: In the diagram below, how does the angle between a tangent to a circle (line CD) and the line connecting the point of tangency C and the center of the circle A change as you move the point of tangency (point C)?
Hint: Will the angle increase or decrease in size as point C moves closer to the circle? What about as C moves farther away from the circle? What will happen to the angle? Use the diagram below for help. You must show all work and provide an explanation to receive credit.

Question

: In the diagram below, how does the angle between a tangent to a circle (line CD) and the line connecting the point of tangency C and the center of the circle A change as you move the point of tangency (point C)? 
Hint: Will the angle increase or decrease in size as point C moves closer to the circle? What about as C moves farther away from the circle? What will happen to the angle? Use the diagram below for help. You must show all work and provide an explanation to receive credit.

anonymous · Answer

I have really no idea what to do, can someone help walk me through this so I understand?

anonymous · Answer

@Hero

hero · Answer

It is best to use a protractor or ruler to demonstrate this concept to yourself.