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Area Calculator

Calculate the area of circles, rectangles, triangles (base-height and Heron's), trapezoids, ellipses, sectors, and regular polygons.

Real-time results 100% free No sign-up Mobile friendly

Formulas verified against authoritative sources including the CFPB and Federal Reserve. Last reviewed . Editorial policy.

Shape Selection

Area Result

78.5398

square units

Formula

π × r² = π × 5² = 78.5398

Frequently Asked Questions

How do I calculate the area of a circle?

Area = π × r², where r is the radius (half the diameter). For a circle with diameter 10, radius = 5, area = π × 25 ≈ 78.54 square units. If you know the circumference C, area = C²/(4π).

What is Heron's formula?

Heron's formula finds a triangle's area from its three sides: Area = √(s(s-a)(s-b)(s-c)), where s = (a+b+c)/2 is the semi-perimeter. It works for any triangle without needing the height.

How do I find the area of an irregular shape?

Break it into simpler shapes (rectangles, triangles, circles). Calculate each area separately, then add them together. This technique, called decomposition, works for any polygon or compound shape.

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