# Angle question

## Main Question or Discussion Point

This is my first post on this forum so sry if this is in the wrong place, but also it’s a weird question so I don’t know where it falls exactly.

Anyways my question is: when you have an angle, the further the distance is from the point where the angle forms, the distance between the two inner sides of the angel increases. My question is is there a term or something for making that statement, the statement being the distance between the sides of the angle increase as the distance to the angles origin increase. Is there a term for that?

Like I said, it’s kind of a weird question but it’s sometjing I’ve always wondered for some reason.

Last edited by a moderator:

.Scott
Homework Helper
Consider a triangle with endpoints a, b, and c. We'll put you angle at point a. The length of sides ab and ac will be equal and that length will represent the distance "from the point where the angle forms" to the place where you are measuring it. The length of the remaining side, bc, will be "the distance between the two inner sides".
Let's call the angle at a, $\alpha$; the distance between the sides (the length of line segment bc), $J$; and the distance from the angle (length ab or ac), $K$.
Then we can say that given a constant $\alpha$, lengths $J$ and $K$ will be proportional to each other.

More specifically, $J = 2sin(\alpha/2)K$

kuruman
Homework Helper
Gold Member
The term or somethng is the definition of the angle, $\theta = S/R$, where $S$ is the arc that subtends the angle (what you call the distance between the sides of the angle) and $R$ is the radius of the arc (what you call the distance to the angle origin). If the angle is kept constant and $S$ is increased, $R$ must increase proportionally to keep the ratio constant.

Tom.G