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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.
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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 |
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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. |
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Remember when using array formula to commit the formula
with CTRL + SHIFT + ENTER
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The
download contains both
example charts and associated data sets and required vba code.
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Tested in xl2007
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Last updated 28th April 2007
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AJP
Excel Information
