SOMEONE PLEASE HELP.
What is the value of a + b? You may assume that the ray is tangent to the circle.
A. 64
B. 128
C. 90
D. 180

Question

anonymous · Answer

attachment

tkhunny · Answer

Hint:

Tangent to a Circle
Perpendicular to a Diameter

anonymous · Answer

:/

tkhunny · Answer

Not a big enough clue?

anonymous · Answer

i have no clue what i'm doing tbh

tkhunny · Answer

You must ponder my clue.  What does the diameter do to the circle?  What is special about a diameter that is not true of any other line segment intersecting the circle twice?  What is the definition of a tangent?

anonymous · Answer

"A line which touches a circle or ellipse at just one point. Below, the blue line is a tangent to the circle c. Note the radius to the point of tangency is always perpendicular to the tangent line."

tkhunny · Answer

See that note?  The Radius is half a diameter.  Not, rephrasing just a little...

"Note the radius (or diameter) to the point of tangency is always perpendicular to the tangent line"

anonymous · Answer

ohh ok

tkhunny · Answer

So a + b = What?