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Spherical Triangle Area from Angles

Online spherical triangle area from angles. Spherical Earth radius 6371.0088 km unless another radius is displayed. Not an ellipsoidal survey or real-time navigation service.

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spherical triangle area from angles calculator online

Use spherical triangle area from angles online for angleA deg, angleB deg, angleC deg, radius km. Spherical Earth radius 6371.0088 km unless another radius is displayed. Not an ellipsoidal survey or real-time navigation service.

How to use it

Enter angleA deg. Set angleB deg, angleC deg, radius km. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
angleA degMain input. Signed finite values. 70
angleB degOption. Signed finite values. 70
angleC degOption. Signed finite values. 70
radius kmOption. Positive values. 6371.0088

Calculation method

area_km2 = range((angleA_deg+angleB_deg+angleC_deg-180)*pi/180,0,2*pi)*radius_km^2 (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply spherical triangle area from angles to the case below, keeping the displayed units and assumptions. Spherical Earth radius 6371.0088 km unless another radius is displayed. Not an ellipsoidal survey or real-time navigation service.

Spherical Triangle Area from Angles — worked case

Settings: angleB deg: 70; angleC deg: 70; radius km: 6371.0088

Input:

70

Calculated result for these inputs:

Output:

{
  "area_km2": 21252745.04053632
}

Choose the right tool

Choose great-circle tools for shortest spherical paths and rhumb tools for constant bearings. Spherical models differ from ellipsoidal survey calculations. Web-map tiles have latitude limits and grid bearings require a stated convergence convention.

Limitations and common mistakes

  • Spherical Earth radius 6371.0088 km unless another radius is displayed. Not an ellipsoidal survey or real-time navigation service.
  • Use the displayed unit in every field. Ratios and percentages are different inputs; percent fields use values such as 25 rather than 0.25.

Frequently asked questions

How can I use spherical triangle area from angles calculator online?

Enter angleA deg. Set angleB deg, angleC deg, radius km. Select Calculate and check the labeled output. Copy or download the JSON result.

Technical references

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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