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Intersection points between line and circle

 
 

 

The workbook contains code for 2 User Defined Functions array functions which output the intersection points between a Circle and either another Circle or a line.
 
IntersectLineCircle:
=IntersectLineCircle( LineCoordinates , CircleX , CircleY , Radius )
LineCoordinates is a 2 column range which contains the x and y points for a line.
CircleX is the X position of the circles center point. Can be a value or range reference.
CircleY is the Y position of the circles center point. Can be a value or range reference.
Radius is the radius of the circle. Can be a value or range reference.
The function returns an array of X and Y intersect points. As the number of possible intersect points between a line and circle has a maximum of 2 points the size of the array formula can be determined from the input information. The number of possible intersections is (Line segments-1)*2
 
IntersectCircleCircle:
=IntersectCircleCircle( Circle1X , Circle1Y , Radius1 , Circle2X , Circle2Y , Radius2 )
Circle1X and Circle2X are the X position of the circles center point. Can be a value or range reference.
Circle1Y and Circle2Y are the Y position of the circles center point. Can be a value or range reference.
Radius1 and Radius2 are the radius of the circle. Can be a value or range reference.
The function returns an array of 2 X and Y intersect points.  
 
Remember when using array formula to commit the formula with CTRL + SHIFT + ENTER
 
The download contains both example charts and associated data sets and required vba code.
   
 
Tested in xl2007
 
 
   

Created August 2004
Last updated 5th August 2014 


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