# Math Help - Circle from an Arc

1. ## Circle from an Arc

Hi to all!
I have an arc whose two endpoints i know .
Is it possible to to draw an circle from this two endpoints such that the circle involves that endpoints as its minor arc?

Any help will be hearlty appreciated!!!
Regards!!!

2. Originally Posted by krunal_299
Hi to all!
I have an arc whose two endpoints i know .
Is it possible to to draw an circle from this two endpoints such that the circle involves that endpoints as its minor arc?

Any help will be hearlty appreciated!!!
Regards!!!
Let A, B denote the endpoints of the arc. Coose an arbitrary point P on the arc.

Construct the perpendicular bisector of $\overline{AP}$ and $\overline{BP}$.

These 2 perpendicular bisectors meets at C, the center of the circle in question.