Convert radian to quadrant

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

Calculation Breakdown

Set up the equation

1.0 (r a d i a n) = x (q u a d r a n t)

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

(r a d i a n)

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

Right side: 1.0 (q u a d r a n t) = \frac{π}{2.0} (r a d i a n) = \frac{π}{2.0} (r a d)

Insert known values into the conversion equation to determine

x

1.0 (r a d i a n) = x (q u a d r a n t)

Insert known values =>

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

Or

1.0 \cdot 1.0 \cdot (r a d) = x \cdot \frac{π}{2.0} \cdot (r a d)

Cancel SI units

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

Conversion Equation

1.0 = x \times \frac{π}{2.0}

Simplify

1.0 = x \times \frac{π}{2.0}

Switch sides

x \times \frac{π}{2.0} = 1.0

Isolate

x

Multiply both sides by

(\frac{2.0}{π})

x \times \frac{π}{2.0} \times \frac{2.0}{π} = 1.0 \times \frac{2.0}{π}

Cancel

x \times \frac{π \times 2.0}{2.0 \times π} = 1.0 \times \frac{2.0}{π}

Simplify

x = \frac{2.0}{π}

Solve

x

x \approx 0.6366197724 \approx 6.3662 \times 10^{- 1}

Conversion Equation

1.0 (r a d i a n) \approx 6.3662 \times 10^{- 1} (q u a d r a n t)

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