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100% Free • Works Offline • Camera & Credit Card Calibration

Online Protractor & Angle Finder

Last updated: October 4, 2026

Measure angles on screen, over a photo or live through your camera - this online protractor works offline and uploads nothing.

What is an online protractor?

Type:
Drag vertices or protractor handles to measure. Multi-touch supported. -- FPS
Angle (Degrees)
45.0° ACUTE
Radians 0.785 rad
Slope Percentage 100.0%

Angle Properties & Complementary

Complementary (90° - θ) 45.0°
Supplementary (180° - θ) 135.0°

Keyboard Shortcuts:

Key D: Toggle Dark/Light Mode
Key R: Reset Tool
Key L: Lock/Unlock
Space: Freeze/Unfreeze Camera

Measurement History

Saved in this browser only - never uploaded.

Time Mode Degrees Radians Slope
Every angle you lock is logged here.

What is an online protractor?

An online protractor - also called an angle finder or a virtual protractor - measures the angle between two lines directly in your browser. You place a reference ray along one edge, drag a second ray onto the intersecting edge, and the tool reads out the angle in degrees, radians and slope percentage, together with the complementary and supplementary angles. No app to install and no drawing to print: the measuring instrument is the page itself.

Because the protractor is rendered on a canvas, you can use it on top of a photograph as well as on a blank canvas. Take or upload a picture of a roofline, a miter joint or a staircase stringer, set the scale in the calibration mode with a known length, and read the angle off the image. Photos, camera frames and everything else are processed locally in the browser - nothing is uploaded to a server - and the FAQ explains how the tool is used in practice.

Once you have a measurement, convert it with the calculators below: turn a pitch into a ratio with the roof pitch calculator, halve a corner for a miter with the miter angle finder, or translate a grade into degrees with the slope percentage converter.

Angle reference

Five angle types, one real example each

Every corner you measure falls into one of these five ranges. Match the readout against the range below and you know straight away what kind of angle is in front of you.

Angle type Degree range Real-world example
Acute 0° < θ < 90° A 45° miter cut on a picture-frame corner.
Right θ = 90° A door frame checked with a carpenter's square.
Obtuse 90° < θ < 180° A laptop lid left open at about 120°.
Straight θ = 180° A level windowsill running along a wall.
Reflex 180° < θ < 360° A parking-garage ramp doubling back 270°.
Everyday users

Who uses it

Four kinds of visitor open this page most days, each with a different job to finish.

Students and teachers

Geometry homework becomes checking instead of guessing: drag the rays onto the diagram and read the angle. The same tool goes on a classroom projector to work through examples together.

Carpenters

Photograph the corner before the saw is set and know the miter angle in seconds. Framing, trim and bench work get verified against a real reading instead of a marked line.

Photographers

Straighten a leaning horizon or a skewed door frame by measuring how far it sits off level. Architectural and interior shots are corrected against a true 90° reference.

Solar installers

Rest the phone on the mounting rail and read the tilt of the installed array. The as-built degrees can be reported without climbing back onto the roof.

Feature by feature

How this online protractor is different

Plenty of pages draw a semicircle on the screen. This one measures a real corner, keeps the reading accurate and hands the number straight to a calculator.

Free Browser Utility & Trigonometry Guide

How to Use Angle Finder Protractor

Learn how to use angle finder protractor on screen, over uploaded images, or live through your mobile camera stream with sub-pixel vector accuracy.

01

1. On-Screen Virtual Protractor

Overlay a semi-transparent 180° or 360° digital protractor directly over any web page, document, or diagram. Drag the center vertex V and rotate rays A and B to measure any corner or angle.

02

2. Upload Photo or Blueprint

Upload architectural blueprints, geometric homework diagrams, or construction photos (PNG/JPG). Pan and pinch-to-zoom images under the protractor to calculate precise structural angles.

03

3. Live Mobile Camera (WebRTC)

Stream live video directly from your smartphone or laptop camera. Superimpose digital measuring lines over physical objects (woodwork, roof pitches, tiles, pipes) and freeze frame for easy reading.

Instructional Guide

How to Read a Protractor Angle Finder

Understanding how to read a protractor angle finder requires aligning the center origin (vertex V) with the vertex point of the angle you wish to measure.

  • • Align Base Ray A: Drag Ray A along the baseline of your geometric shape or horizontal reference.
  • • Rotate Angle Ray B: Drag Ray B to line up with the intersecting edge or slope line.
  • • Read Multi-Unit Readout: The tool instantly displays the measured angle in Degrees (°), Radians (rad), and Slope Percentage (%).

Trigonometric Conversion Formulas

1. Degrees to Radians: Rad = Degrees × (π / 180)

Example: 45° × (3.14159 / 180) = 0.7854 rad

2. Degrees to Slope Percentage (% Pitch): Slope % = tan(Degrees in Radians) × 100

Example: tan(45°) × 100 = 100% slope (1:1 rise over run)

3. Complementary & Supplementary Angles: Complementary = 90° - θ | Supplementary = 180° - θ

Angle Reference & Conversion Table

Quick conversion between standard geometric angles, radians, and slope percentages.

Precision 0.1°
Degrees (°) Radians (rad) Slope Percentage (%) Classification
0° 0.000 rad 0.0% Zero Angle
30° 0.524 rad (π/6) 57.7% Acute
45° 0.785 rad (π/4) 100.0% (1:1) Acute
60° 1.047 rad (π/3) 173.2% Acute
90° 1.571 rad (π/2) Undefined (Vertical) Right Angle
120° 2.094 rad (2π/3) -173.2% Obtuse
180° 3.142 rad (π) 0.0% Straight Angle
270° 4.712 rad (3π/2) Undefined Reflex Angle
360° 6.283 rad (2π) 0.0% Full Rotation
Free angle calculators

Calculators for pitches, miters and conversions

Each calculator takes one measurement and returns the numbers you actually need - degrees, ratios and percentages - with worked examples. Everything runs in your browser.

Roof Pitch Calculator

Free roof pitch calculator. Enter rise and run to get the pitch angle in degrees, slope percentage and x:12 ratio, with worked 4/12 and 6/12 examples.

pitch angle = arctan(rise / run) × 180 / π · slope % = rise / run × 100

Miter Angle Finder

Find the miter angle for any corner. Enter the corner angle to get the miter saw cut angle, with a 90° corner table and framing tips for trim and crown molding.

miter angle = corner angle / 2

Degrees to Radians Converter

Convert degrees to radians instantly. Formula rad = deg × π/180, worked examples for 30°, 45°, 60°, 90°, 180° and 360°, plus a full conversion table.

radians = degrees × π / 180

Slope Percentage to Degrees

Convert slope percentage to degrees and back. Formula, examples for 4.76%, 8.33%, 10%, 50% and 100%, plus a grade-to-angle table for ramps, roads and roofs.

degrees = arctan(slope% / 100) × 180 / π · slope% = tan(angle) × 100

Solar Panel Tilt Angle Calculator

Estimate the best fixed solar panel tilt angle from your latitude, with winter and summer adjustments. Rule-of-thumb formulas, worked examples and orientation tips.

year-round tilt ≈ |latitude| · winter ≈ |latitude| + 15° · summer ≈ |latitude| - 15°

Triangle Solver

Free triangle solver. Enter three values as SSS, SAS or ASA to get every missing side and angle, plus area and perimeter, with worked examples.

law of cosines: a² = b² + c² − 2bc·cos A · law of sines: a / sin A = b / sin B · area = ½·a·b·sin C · Heron: √(s(s−a)(s−b)(s−c)) with s = (a+b+c) / 2

Measure an angle on screen

Use the virtual protractor above to measure an angle directly on the canvas, over an uploaded photo or through your camera, then convert it with the calculators on this page.

angle = measured on screen (no upload)
Got Questions?

Frequently Asked Questions

Everything you need to know about measuring angles online with high precision.

Is this tool free to use? ▼
Yes, Angle Finder Protractor is 100% free to use with unlimited measurements and zero subscriptions or hidden fees.
Do I need to download or install anything? ▼
No installation required! The protractor works directly inside your web browser on desktop, mobile, or tablet.
Does this work on mobile phones and tablets? ▼
Yes! Our tool features full touch screen support, multi-touch gestures, pinch-to-zoom, and mobile WebRTC camera integration.
Is my data private and secure? Are photos/camera feeds uploaded to a server? ▼
Your privacy is completely protected: 100% Client-side processing (HTML5 Canvas). Zero data uploaded or stored on any external server.
How accurate is the online angle measurement? ▼
Measurements are displayed to 0.1° (for example 45.0°), which is the readout resolution rather than a guarantee of accuracy. The angle is calculated from the rays you place on the screen, so it is only as accurate as that placement - photos and camera frames also depend on image quality and calibration.
Can I upload my own images to measure angles? ▼
Yes! Simply click the "Upload Photo" tab to import any image, blueprint, or diagram to measure corner angles directly.
How do I calibrate the screen scale using a credit/ID card? ▼
Click "Calibrate Scale", place a standard credit card (85.6 mm × 53.98 mm) on your screen, and align the blue box to calculate exact PPI.
Can I measure real-world objects using my mobile camera? ▼
Yes! Select "Live Camera (WebRTC)" to stream your camera video live and superimpose digital measuring lines over physical objects.
Is an online angle finder accurate enough for engineering or medical use? ▼
It is excellent for DIY, woodworking, education, and preliminary engineering checks. However, certified physical tools are recommended for legal or surgical accuracy.