Convert quadrant to radian

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

Calculation Breakdown

Set up the equation

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

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

Insert known values =>

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

Cancel SI units

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

Conversion Equation

\frac{π}{2.0} = x \times 1.0

Simplify

\frac{π}{2.0} = x

Switch sides

x = \frac{π}{2.0}

Solve

x

x \approx 1.5707963268 \approx 1.5708

Conversion Equation

1.0 (q u a d r a n t) \approx 1.5708 (r a d i a n)

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