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현재 위치

distance between a circle and a line

작성자 Uploader : metalheart 작성일 Upload Date: 2019-01-17변경일 Update Date: 2019-01-18조회수 View : 259

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Calculation of the distance between a circle and a line expressed as :

Circle : (x-x0)^2 + (y-y0)^2 = r^2
Line : y = ax+b → ax-y+b = 0

□ Input data

■ The distance from the coordinate (x0, y0) of the center point of the circle to the straight line, d

■ The distance between the circle and the line, D

D = d - r = |a*x0 - y0 + b| / (a^2+1)^(1/2) - r

D> 0: Circle and straight line do not meet.
D = 0: The circle and the straight line touch at the distal point.(tangent)
D <0: Circle and straight line meet at two points.

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※ Input data on red underlines.

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1st Step for All

현재 위치

distance between a circle and a line

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