circcirc

Find intersection of circles in Cartesian coordinates

Syntax

[xout,yout] = circcirc(centerx1,centery1,radius1,centerx2,centery2,radius2)

Description

[xout,yout] = circcirc(centerx1,centery1,radius1,centerx2,centery2,radius2) finds the intersection of two circles with the specified centers and radii, in Cartesian coordinates.

Examples

Find Intersection of Two Circles

Find the intersection of two circles. The first circle has its center at (–2, 3) and a radius of 4. The second circle has its center at (1, –5) and a radius of 6.

[xout,yout] = circcirc(-2,3,4,1,-5,6)

xout = 1×2

    1.4541   -3.2760

yout = 1×2

    0.9828   -0.7910

Input Arguments

centerx1 — x-coordinate of center of first circle

numeric scalar

x-coordinate of the center of the first circle, specified as a numeric scalar.

centery1 — y-coordinate of center of first circle

numeric scalar

y-coordinate of the center of the first circle, specified as a numeric scalar.

radius1 — Radius of first circle

positive scalar

Radius of the first circle, specified as a positive scalar.

centerx2 — x-coordinate of center of second circle

numeric scalar

x-coordinate of the center of the second circle, specified as a numeric scalar.

centery2 — y-coordinate of center of second circle

numeric scalar

y-coordinate of the center of the second circle, specified as a numeric scalar.

radius2 — Radius of second circle

positive scalar

Radius of the second circle, specified as a positive scalar.

Output Arguments

xout — x-coordinates of intersections

two-element vector

x-coordinates of the intersections, returned as a two-element vector.

• When the circles are tangent, the elements of the vector are equal.

• When the circles do not intersect or are identical, both elements are NaN.

yout — y-coordinates of intersections

two-element vector

y-coordinates of the intersections, returned as a two-element vector.

• When the circles are tangent, the elements of the vector are equal.

• When the circles do not intersect or are identical, both elements are NaN.

Version History

Introduced before R2006a