Angle calculators

Online calculators for all types of angle calculations

4+

Calculators

Degrees

Calculations

Percent

& Slope

Polygons

Angle sums

Angle format conversion

Degrees to Decimal

Conversion between degrees-minutes-seconds and decimal degrees.

DMS ↔ Decimal GPS format
Degrees to Percent

Slope measurement: conversion between angle and percent slope.

Slope calculation Tangent function

Triangle angle calculations

Angles from side lengths

Calculate all angles of a triangle from the three side lengths.

Law of cosines 3 sides → 3 angles

Polygon angle calculations

Angle sum of polygons

Calculate angle sums and individual angles for all polygons.

(n-2) × 180° Regular polygons
What makes our angle calculators special?
Versatile formats

Support for all common angle formats: degrees, minutes, seconds, decimal degrees, percent and radians.

Precise calculations

High-precision trigonometric calculations for all types of angle and slope calculations.

Learning support

Detailed formulas and explanations for education, studies and professional applications.

Related calculator categories
2D Geometry
Trigonometry
Mathematical foundations of angle calculation
Classical trigonometry

Angle calculations form the heart of trigonometry. From ancient Greek mathematicians to modern engineering mathematics, precise angle measurements and calculations are fundamental for navigation, construction, astronomy and countless technical applications.

Practical applications

These angle calculators are indispensable in surveying, GPS systems, aviation, mechanical engineering, architecture and everywhere precise angle calculations are needed for planning, construction or navigation.

Special features of our angle calculators
Format conversion

Seamless conversion between all angle formats: degrees, DMS, decimal, percent

Trigonometric precision

High-accuracy calculations with law of cosines, sine law and advanced methods

Polygon support

From triangles to complex polygons - angle sums for all shapes

Device optimization

Responsive design for smartphone, tablet and desktop computers

Application areas of angle calculation
Surveying & navigation
  • GPS coordinates and position determination
  • Land surveying and geodesy
  • Maritime and aviation navigation
  • Astronomical calculations
Construction & architecture
  • Roof slopes and gradient calculations
  • Structural engineering and construction angles
  • Road construction and route planning
  • Building orientation and solar exposure
Engineering & technology
  • Mechanical engineering and gear design
  • Robotics and automation technology
  • Optics and laser applications
  • CAD software and technical drawings
Education & science
  • Mathematics and physics education
  • Trigonometry and analytical geometry
  • Laboratory experiments and measurements
  • Scientific research
Digital applications and modern technology
Computer graphics & gaming
  • 3D modeling and animation
  • Camera angles and perspectives
  • Collision detection and physics engines
  • Virtual reality and augmented reality
Modern technologies
  • Satellite communication and tracking
  • Drone navigation and image acquisition
  • Autonomous driving and LIDAR systems
  • Computer vision and image recognition
History of angle calculation
Ancient origins

Angle calculation has its roots in ancient astronomy and navigation. Babylonian astronomers developed the 360° system, Greek mathematicians like Hipparchus created the first trigonometric tables. These foundations enabled precise calculations for seafaring and land surveying.

Modern developments

With digitalization, angle calculations have reached a new dimension. GPS systems, computer graphics, robotics and artificial intelligence are fundamentally based on precise angle measurements and calculations. From smartphone apps to Mars rovers - angle calculation is omnipresent.