Sector Area Calculator & Formula Analysis

Precision Note: Results rounded to 4 decimal places for educational reference.

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Historical Origins of the Sector Area Formula

The sector area formula has roots in ancient Greek geometry, with early developments by Euclid and later refinement by Islamic mathematicians. The modern formula \( A = \frac{\theta}{360} \times \pi r^2 \) (where \( \theta \) is the central angle and \( r \) is the radius) is widely used in fields like architecture, engineering, and astronomy.

Ancient geometry manuscript