Centre and radius of a circle passing through 3 points in a plane: Difference between revisions
Centre and radius of a circle passing through 3 points in a plane (view source)
Revision as of 18:53, 22 February 2024
, 3 months agoAdd Kotlin
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</syntaxhighlight>{{out}}
<pre>Centre = (18.978515660148815, 16.26541079771587), radius = 14.708623978334177</pre>
=={{header|Kotlin}}==
<syntaxhighlight lang="kotlin">
import kotlin.math.sqrt
data class Point(val x: Double, val y: Double)
fun findCircle(p1: Point, p2: Point, p3: Point): Pair<Point, Double> {
fun sq(x: Double) = x * x
val centreX =
0.5 * (
(sq(p1.x) + sq(p1.y)) * (p3.y - p2.y) +
(sq(p2.x) + sq(p2.y)) * (p1.y - p3.y) +
(sq(p3.x) + sq(p3.y)) * (p2.y - p1.y)
) / (
p1.x * (p3.y - p2.y) +
p2.x * (p1.y - p3.y) +
p3.x * (p2.y - p1.y)
)
val centreY =
0.5 * (
(sq(p1.x) + sq(p1.y)) * (p3.x - p2.x) +
(sq(p2.x) + sq(p2.y)) * (p1.x - p3.x) +
(sq(p3.x) + sq(p3.y)) * (p2.x - p1.x)
) / (
p1.y * (p3.x - p2.x) +
p2.y * (p1.x - p3.x) +
p3.y * (p2.x - p1.x)
)
val centre = Point(centreX, centreY)
val radius = sqrt(sq(centreX - p1.x) + sq(centreY - p1.y))
return Pair(centre, radius)
}
fun main() {
findCircle(Point(22.83,2.07), Point(14.39,30.24), Point(33.65,17.31))
.let { (c, r) ->
println("Centre = $c")
println("Radius = $r")
}
}
</syntaxhighlight>
{{out}}
<pre>
Centre = Point(x=18.978515660148815, y=16.26541079771587)
Radius = 14.70862397833418
</pre>
=={{header|Phix}}==
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