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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