Area, Geometry & Angles Converters
Scientifically verified conversions across metric, imperial, and traditional land measurement systems, alongside angular calculus and optical subtension calculators. Convert square meters, square feet, acres, hectares, Korean pyeong (평), degrees, radians, and military mils to minutes of angle (MOA) under NIST SP 811 and BIPM SI standards.
Universal Area Converter
Convert seamlessly between metric (m², cm², ha), imperial (sq ft, sq yd, acres), and international land units (pyeong).
Popular Area & Geometry Calculators
Frequently accessed tools for architectural design, marksmanship, and real estate valuation.
Area Converter – Universal Metric, Imperial & Land Area Conversion
Convert between square meters, square feet, acres, hectares, square kilometers, square miles, square yards, and Korean pyeong with instant precision.
Square Centimeter to Square Inch Converter – cm² to in²
Convert square centimeters to square inches (cm² to in²) with exact scientific formulas, worked examples, and conversion tables.
Degrees to Radians Converter – deg to rad with Exact π Multiples
Convert angles between degrees and radians (deg to rad) with exact symbolic fractions of π, decimal precision, and trigonometric formulas.
Mil to MOA Converter – Milliradians to Minutes of Angle
Convert between Milliradians (Mil/mrad) and Minutes of Angle (MOA) with support for True Milliradian and NATO Angular Mil conventions.
Square Foot to Pyeong Converter – sq ft to 평 Real Estate Calculator
Convert square feet to Korean pyeong (sq ft to 평) and pyeong to square feet with legal metrological standards and apartment floor plan calculations.
Square Yard Converter – yd² to sq ft, sq m & Acres Calculator
Convert square yards to square feet, square meters, acres, and hectares with exact imperial-metric formulas and material estimation guides.
Complete 7-Tool Category Directory
Every tool entry accounted for with zero unverified conversions or dropped items.
Group A — Planar & Land Area Converters
5 ToolsGroup B — Angular & Ballistic Converters
2 ToolsNo area or geometry tools match your search query.
Common Units of Planar & Land Area
How international measurement standards define and scale two-dimensional area.
The coherent SI standard unit of surface area, defined as the area of a square with sides of one international meter.
Dominant imperial architectural standard in the US and UK. Equal to exactly 144 square inches.
Standard unit for rolled carpeting, turf, paving, and landscaping. Exactly equal to 9 square feet.
Traditional East Asian housing metric. Legally defined as exactly 400/121 m² (approx. 35.583175 sq ft).
Standard land parcel measure in the US and Commonwealth. Exactly equal to 43,560 square feet or 4,840 square yards.
Global agricultural and forestry standard. Equal to 100 ares ($100\text{ m} \times 100\text{ m}$) or approximately 2.47105 acres.
Metric laboratory and mechanical design unit. 1 in² equals exactly 6.4516 cm² under NIST standards.
Geographic and municipal section area. Exactly equal to 640 acres or 27,878,400 square feet.
Exact Area Conversion Matrix
Cross-conversion factors anchored to the SI square meter ($m^2$) under NIST SP 811.
| Unit | Square Meters (m²) | Square Feet (ft²) | Square Yards (yd²) | Pyeong (평) | Acres (ac) |
|---|---|---|---|---|---|
| 1 m² | 1.0 | 10.763910 | 1.195990 | 0.302500 | 0.0002471 |
| 1 ft² | 0.092903 | 1.0 | 0.111111 | 0.028103 | 0.00002296 |
| 1 yd² | 0.836127 | 9.0 | 1.0 | 0.252932 | 0.0002066 |
| 1 pyeong | 3.305785 | 35.583175 | 3.953686 | 1.0 | 0.0008169 |
| 1 acre | 4,046.856 | 43,560.0 | 4,840.0 | 1,224.174 | 1.0 |
| 1 hectare | 10,000.0 | 107,639.10 | 11,959.90 | 3,025.00 | 2.471054 |
Geometric Shape Area Formulas
Fundamental mathematical equations for computing two-dimensional surface areas.
Rectangle
The foundational planar quadrilateral formula. Applies to rooms, walls, ceiling panels, and structural timber cross-sections.
Square
Equilateral quadrilateral where side lengths are identical. Governs quadratic unit conversions ($cm^2$, $in^2$, $m^2$).
Triangle
Applies to all triangular polygons regardless of oblique angles. Critical for structural trusses and gable roof areas.
Circle
Planar boundary governed by radius $r$ or diameter $d$. Mandatory for cylindrical pipe, conduit, and hydraulic piston areas.
Parallelogram
Quadrilateral with parallel opposite sides, evaluated using perpendicular height rather than slant edge length.
Trapezoid
Average of two parallel bases ($a$ and $b$) multiplied by vertical separation. Used in drainage channels and civil embankments.
Understanding Angular Measurement & Ballistic Subtension
Sexagesimal degrees, natural radians, milliradians, and NATO artillery mils.
Sexagesimal Degrees vs Radians
Degrees subdivide a circle into 360 arbitrary arc units dating back to ancient Babylonian astronomy. While convenient for human communication, degrees require artificial constant multipliers when evaluating calculus derivatives and trigonometric Taylor series.
The radian is the natural mathematical unit of angle where arc length equals radius ($s = r\theta$). A full circle contains exactly $2\pi\text{ rad}$, meaning $180^\circ = \pi\text{ rad}$. In physics, robotics kinematics, and alternating electrical currents, radians are indispensable.
Open Degrees to Radians Converter →Milliradians (Mil) vs Minutes of Angle (MOA)
In marksmanship, optics, and artillery, angular subtension allows compensation for bullet drop at distance. 1 MOA ($1/60\text{ of a degree}$) subtends $1.047\text{ inches}$ at 100 yards.
A True Milliradian (mrad) is $1/1,000\text{ radian}$, subtending exactly $10\text{ cm}$ at 100 meters. The NATO Angular Mil divides the circle into 6,400 mils ($1\text{ mil} = 3.375\text{ MOA}$), which is $1.82\%$ smaller than a true trigonometric mrad ($3.43775\text{ MOA}$).
Open Mil to MOA Converter →Practical Applications & Industry Standards
Where area, geometry, and angular calculations are critical in everyday commerce and science.
Architecture & Real Estate
Evaluating apartment floor plans in square feet, square meters, and Korean pyeong. Calculating carpet square yardage and paint surface coverage.
Optics, Ballistics & Surveying
Dialing rifle turret clicks in Mils and MOA. Boundary geodetic surveying, polygon closing angles, and property lot line alignments.
Mechanical & Robotics Kinematics
Computing joint angles in radians for inverse kinematics software. Sizing hydraulic cylinder piston surface areas in cm² and in² for pressure ratings.
Frequently Asked Questions
Common questions regarding area scaling, pyeong calculations, and angular mils.
Why must linear conversion factors be squared for area? ↓
Area is a two-dimensional geometric quantity ($length \times width$). If 1 yard equals 3 feet, a square yard is a square measuring 3 feet by 3 feet, which contains $3 \times 3 = 9\text{ square feet}$. Applying the linear factor 3 directly produces an error of 300%.
How is a Korean pyeong legally defined? ↓
Under South Korean metrology and the Framework Act on National Standards, one pyeong is defined as a square of 6 cheok on each side. Because 1 cheok equals $10/33\text{ meters}$, $1\text{ pyeong} = (20/11)^2 = 400/121\text{ m}^2 \approx 3.305785\text{ m}^2$, or approximately $35.583175\text{ sq ft}$.
What is the difference between a True mrad and a NATO Mil? ↓
A True Milliradian is $1/1,000\text{ of a radian}$ ($\approx 6,283.19\text{ mrad}$ per circle), equal to $3.43775\text{ MOA}$. A NATO mil rounds the circle to exactly 6,400 mils ($3.375\text{ MOA}$), creating a $1.82\%$ difference that must be accounted for in precision ballistics.
Can an engineering mil (thou) be converted to MOA? ↓
No. An engineering mil (thou) is a one-dimensional linear measure equal to 0.001 inches ($0.0254\text{ mm}$). MOA is a dimensionless angular measurement. They cannot be converted without specifying the distance to the target.
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