Convert grad to half circle

Learn how to convert 1 grad to half circle step by step.

Calculation Breakdown

Set up the equation
1.0(grad)=x(half circle)
Define the base values of the selected units in relation to the SI unit (radian)
Left side: 1.0 (grad)=π2.0×102(radian)=π2.0×102(rad)
Right side: 1.0 (half circle)=π(radian)=π(rad)
Insert known values into the conversion equation to determine x
1.0(grad)=x(half circle)
Insert known values =>
1.0×π2.0×102×(radian)=x×π×(radian)
Or
1.0π2.0×102(rad)=xπ(rad)
Cancel SI units
1.0×π2.0×102(rad)=x×π×(rad)
Conversion Equation
π2.0×102=x×π
Cancel factors on both sides
Cancel factors
π2.0×102=x×π
Simplify
1.02.0×102=x
Switch sides
x=1.02.0×102
Rewrite equation
1.0102 can be rewritten to 102
Rewrite
x=1022.0
Solve x
x=5×103
Conversion Equation
1.0(grad)=5×103(half circle)

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