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Circle sector

The share of the circle equals the angle divided by 360.

°

How it is calculated

A full angle, 360°, returns the whole circle. An angle past a full turn is not accepted.

S = πr² × angle / 360, arc = 2πr × angle / 360

Where the numbers come from

  • Radius
  • Angle — unit in the field: °

Example

A radius of 10 and an angle of 90° give an area of 25π and an arc of 5π.

Questions

The angle in radians?

No, in degrees.

Is this the area of a segment?

No. A segment is a sector minus a triangle. Here you get only the sector and the arc.

Radius or diameter?

Radius.