Point/On,C,Atangl
Point on Circle at Angle
Creates a point on the circumference of a circle at a specified angular position.
What It Does
The Point/On,C,Atangl operator creates a point on the circumference of a circle at a specified angular position. The angle is measured from the positive X axis, counterclockwise.
Syntax
Point/On, C, Atangl, A, Z
Quick Input
C: [circle reference]
Angle: [angle in degrees from +X axis]
Z: 0
Ref P: (optional reference point)
Direction Selector
No direction selector is required. The result is uniquely determined by the input geometry.
Worked Examples
Setup:
C0 = Centre (0,0), radius 100
Point/On, C0, Atangl, 45, 0
→ P4 = (70.711, 70.711) [at 45°]
Point/On, C0, Atangl, 90, 0
→ P5 = (0, 100) [at 90° — top of circle]
Point/On, C0, Atangl, 180, 0
→ P6 = (-100, 0) [at 180° — left of circle]
Point/On, C0, Atangl, 270, 0
→ P7 = (0, -100) [at 270° — bottom of circle]
Analytic Rule
Point on circle at angle A:
x = cx + r * cos(A)
y = cy + r * sin(A)
Angle measured from +X axis, counterclockwise.
0° = rightmost point, 90° = top, 180° = leftmost, 270° = bottom.
Result: Exact analytic coordinates.
FAQ
How is the angle measured?
Angles are measured from the positive X axis, counterclockwise. 0° is the rightmost point of the circle. 90° is the top. 180° is the leftmost. 270° is the bottom.
Can I use negative angles?
Yes. Negative angles are measured clockwise from the +X axis. -90° is equivalent to 270°.