I'm not great at mathematics so I'm sure this is trivial to most. I have...

Cierra Castillo

Cierra Castillo

Answered

2022-07-13

I'm not great at mathematics so I'm sure this is trivial to most. I have been searching around however and not been able to find how to figure out the incircle of a circle sector, or, in other words, the point inside a sector that is furthest away from the radii and the arc. The simpler solution the better

Answer & Explanation

Charlee Gentry

Charlee Gentry

Expert

2022-07-14Added 19 answers

Assume the sector angle is 2 θ and the radius is 1, with center at (0,0) and one end of the arc at (1,0). Then the angle bisector of the sector, on which the center O of the incircle must lie, is at angle θ from the x axis. Then O = ( r cos θ , r sin θ ) where r sin θ = 1 r . Then r may be found from this. Of course the whole diagram may have to be rescaled and rotated depending on how your sector is situated.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?