Quickly calculate the area of a sector based on the radius and central angle (degrees or radians), with support for custom units and adjustable precision.

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Tired of calculating sector areas by hand? This tool automatically applies geometric formulas to calculate the area based on the radius and central angle (supporting both degrees and radians). As a sector is a part of a circle, its area calculation follows specific mathematical principles: when entering degrees, it uses the formula (angle/360) × π × radius²; when entering radians, it uses 0.5 × radians × radius². The result is automatically converted to the squared value of the corresponding unit.
The radius must be a positive number. The recommended range for the central angle is 0-360 degrees or 0-2π radians. Ensure consistency when entering units. Floating-point calculations may have extremely minor errors. Please do not enter real dimensional information if it involves sensitive or private data.
For engineering drafting scenarios, we recommend using the radian mode to improve calculation efficiency. A typical example: a sector with a radius of 5 meters and an angle of 60 degrees has an area of approximately 13.09 square meters (Formula: (60/360) × π × 5²). Note that practical applications must consider the precision of π; this tool uses a 15-digit precision value for π in its calculations.