Annular Sector Area Calculator & Formula Analysis

Central Angle (degrees):

Outer Radius (R, cm):

Inner Radius (r, cm):

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

Recent Calculations

Historical Origins & Formula Explanation

The annular sector area formula is derived from the relationship between circle sectors and ring geometry. It combines the area difference of two concentric circle sectors:

Area = (θ/360) × π × (R² - r²)

θ: Central angle of the sector (degrees)
R: Outer radius of the annular sector
r: Inner radius of the annular sector