How do I set a position for move to pathfinding. as a circle around the point?

im moving to a sprite, but the spite has a 3d object over it. so, when pathfinding, its taking a longer route to what it deems as the best way.

i would like to have a distance check

i.e:

set path to x= tile.x (+or- the radius to a closest point of the circumference)

hope that makes sense. probably there is a sin function for it... ? or ill have to bust open some math research if no one has a script made

C⃗ =A⃗ +r(B⃗ −A⃗ )||B⃗ −A⃗ ||

Where r

is the radius of the circle. Works for points both inside and outside the circle. Imagine (B⃗ −A⃗ )

to be a vector in the direction of B⃗

and (B⃗ −A⃗ )||B⃗ −A⃗ ||

thus is the same vector but with a length of 1

. By multiplying it with r

, you "walk in that direction" a total distance of r

, thus reaching the circle.

With coordinats A⃗ =(Ax,Ay)

etc. this reads

Cx=Ax+rBx−Ax(Bx−Ax)2+(By−Ay)2−−−−−−−−−−−−−−−−−−−−√

Cy=Ay+rBy−Ay(Bx−Ax)2+(By−Ay)2−−−−−−−−−−−−−−−−−−−−√

ooh boy... this will be fun

yea, ok. actually not that bad.

C is the point on the circle you want to get

A is the sprite

B is what will move

R is the radius

C.y= A.y+R((B.y-A.y)/√((B.x-A.x)^2+(B.y-A.y)^2)

thought id update my post with an answer if others search for it

C.x= A.x+R((B.x-A.x)/√((B.x-A.x)^2+(B.y-A.y)^2)

for the X

wow, it works beautifully and smoothly