Convert gon to radian

Learn how to convert 1 gon to radian step by step.

Calculation Breakdown

Set up the equation

1.0 (g o n) = x (r a d i a n)

Define the base values of the selected units in relation to the SI unit

(r a d i a n)

Left side: 1.0 (g o n) = \frac{π}{2.0 \times 10^{2}} (r a d i a n) = \frac{π}{2.0 \times 10^{2}} (r a d)

Right side: 1.0 (r a d i a n) = 1.0 (r a d i a n) = 1.0 (r a d)

Insert known values into the conversion equation to determine

x

1.0 (g o n) = x (r a d i a n)

Insert known values =>

1.0 \times \frac{π}{2.0 \times 10^{2}} \times (r a d i a n) = x \times 1.0 \times (r a d i a n)

Or

1.0 \cdot \frac{π}{2.0 \times 10^{2}} \cdot (r a d) = x \cdot 1.0 \cdot (r a d)

Cancel SI units

1.0 \times \frac{π}{2.0 \times 10^{2}} \cdot (r a d) = x \times 1.0 \times (r a d)

Conversion Equation

\frac{π}{2.0 \times 10^{2}} = x \times 1.0

Simplify

\frac{π}{2.0 \times 10^{2}} = x

Switch sides

x = \frac{π}{2.0 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times π}{2.0}

Solve

x

x \approx 0.0157079633 \approx 1.5708 \times 10^{- 2}

Conversion Equation

1.0 (g o n) \approx 1.5708 \times 10^{- 2} (r a d i a n)

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