Convert minute of arc to milliradian

Learn how to convert 1 minute of arc to milliradian step by step.

Calculation Breakdown

Set up the equation
1.0(minute of arc)=x(milliradian)
Define the base values of the selected units in relation to the SI unit (radian)
Left side: 1.0 (minute of arc)=π1.08×104(radian)=π1.08×104(rad)
Right side: 1.0 (milliradian)=2.0×π6.4×103(radian)=2.0×π6.4×103(rad)
Insert known values into the conversion equation to determine x
1.0(minute of arc)=x(milliradian)
Insert known values =>
1.0×π1.08×104×(radian)=x×2.0×π6.4×103×(radian)
Or
1.0π1.08×104(rad)=x2.0×π6.4×103(rad)
Cancel SI units
1.0×π1.08×104(rad)=x×2.0×π6.4×103×(rad)
Conversion Equation
π1.08×104=x×2.0×π6.4×103
Cancel factors on both sides
Cancel factors
π1.08×10410=x×π×2.06.4×103
Simplify
1.01.08×10.0=x×2.06.4
Switch sides
x×2.06.4=1.01.08×10.0
Isolate x
Multiply both sides by (6.42.0)
x×2.06.4×6.42.0=1.01.08×10.0×6.42.0
Cancel
x×2.0×6.46.4×2.0=1.0×6.41.08×10.0×2.0
Simplify
x=6.41.08×10.0×2.0
Solve x
x0.29629629632.963×101
Conversion Equation
1.0(minute of arc)2.963×101(milliradian)

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