Circle Area & CircumferenceMathematics

Circle Area, Circumference, Diameter & Sector Calculator (πr² & 2πr)

Calculate circle area, perimeter/circumference, diameter, arc length, and sector area with high precision using the mathematical constant Pi (π ≈ 3.14159).

Calculator Inputs

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units
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°
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Calculated ResultCircle Area & Circumference

Total Circle Area (A = πr²)

153.94units²

Circumference (C = 2πr)

43.98 units

Diameter (d = 2r)

14 units

Sector Area

26.17 units²

Arc Length

7.48 units

Isoperimetric Property: The circle encloses the maximum possible planar area for any given fixed perimeter.

Circle Metrics Breakdown

Diameter (2 * r)
14 units(6%)
Circumference Perimeter
43.98 units(18%)
Total Circular Surface Area
153.94 units²(65%)
Sector Area
26.17 units²(11%)

Detailed Calculation Breakdown

Diameter (2 * r)
14 units
Circumference Perimeter
43.98 units
Total Circular Surface Area
153.94 units²

Calculation Methodology

Area = π * r², Circumference = 2 * π * r, Diameter = 2 * r. Sector Area = (θ / 360) * π * r², Arc Length = (θ / 360) * 2 * π * r.

Important Legal & Educational Disclaimer

This mathematical tool computes Euclidean circular geometric properties for engineering and scientific applications.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

Area = π * r², where π is approximately 3.14159 and r is the radius of the circle.
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