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Equilateral Triangle Geometry Calculator — result sheet
Calculate the area, perimeter, height, inradius, and circumradius of an equilateral triangle from its side length.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Area = (√3/4)s²; perimeter = 3s; height = (√3/2)s; inradius = (√3/6)s; circumradius = (√3/3)s.
An equilateral triangle has three equal sides and three 60-degree angles. This page keeps its related dimensions together so a visitor can compare the altitude, inscribed-circle radius, circumscribed-circle radius, area, and perimeter without mixing the radius formulas.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Equal side length — length units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Equal side length | 6 |
Area ≈15.5885 square units; perimeter =18; height ≈5.1962; inradius ≈1.7321; circumradius ≈3.4641.
Assumptions and limits
- The side length is positive and all three sides are exactly equal in the ideal geometry model.
- The triangle is planar and Euclidean.
- Height means the perpendicular altitude from a vertex to the opposite side.
- Inradius is the inscribed-circle radius and circumradius is the radius through all three vertices.
- All length outputs use the input length unit and area uses its square.
- The result does not model thickness, manufacturing tolerance, or a three-dimensional object.
- Rounding is applied only to displayed values.
- If the three real-world sides differ materially, use a general triangle model instead.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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