CONVERSION · PLANE ANGLE

Radians to nanoradians converter

Convert radians (rad) to nanoradians (nrad). Calculate any value, follow the unit-factor steps and check a conversion table.

Updated · How we check
TRY YOUR OWN NUMBER Reverse conversion

Use a decimal point, such as 2.5. Enter a value in rad; the result is in nrad.

Nanoradians≈ 1,000,000,000nrad

Formula

nrad ≈ rad × 1,000,000,000

Worked example

Convert 1 rad to nrad:

1 rad ≈ 1,000,000,000 nrad

Multiply your rad value by the factor above. The calculator uses the full conversion factor before rounding the displayed answer.

Radians to nanoradians table

Reference values rounded to 10 significant digits. Use the converter above for other amounts.

Approximate conversion reference
Radians (rad)Nanoradians (nrad)
0.1≈ 100,000,000
0.5≈ 500,000,000
1≈ 1,000,000,000
2≈ 2,000,000,000
5≈ 5,000,000,000
10≈ 10,000,000,000
25≈ 25,000,000,000
50≈ 50,000,000,000
100≈ 100,000,000,000
1000≈ 1e+12

What radians measure

Radians (rad) represent plane angle. One unit equals 10^0 rad. A radian is the plane angle subtended by an arc whose length equals the radius.

Reading the result in nanoradians

Nanoradians (nrad) represent plane angle. One unit equals 10^-9 rad. A radian is the plane angle subtended by an arc whose length equals the radius.

Where this conversion helps

Scale an angular measurement without changing its geometric meaning. A full turn is 2π radians. Radians differ from steradians, which measure solid angle.

How the scale changes

The input unit has a factor of 1e0 rad; the output unit has a factor of 1e-9 rad. Multiply the entered number by the input factor, then divide by the output factor. The physical quantity stays the same while its numerical representation changes.

Reading very small or large results

Scientific notation keeps very small and large values readable: 2.5e-6 means 0.0000025. The converter calculates with 50 significant digits internally and displays up to 10. Exact unit definitions do not remove uncertainty from the original measurement.

References

Definitions and method references. Example rates and prices on this page are editable assumptions.