Convert half circle to revolution

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

Calculation Breakdown

Set up the equation

1.0 (h a l f c i r c l e) = x (r e v o l u t i o 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 (h a l f c i r c l e) = π (r a d i a n) = π (r a d)

Right side: 1.0 (r e v o l u t i o n) = 2.0 \times π (r a d i a n) = 2.0 \times π (r a d)

Insert known values into the conversion equation to determine

x

1.0 (h a l f c i r c l e) = x (r e v o l u t i o n)

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

π = x \times 2.0 \times π

Cancel factors on both sides

Cancel factors

π = x \times π \times 2.0

Simplify

1.0 = x \times 2.0

Switch sides

x \times 2.0 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{2.0})

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

Cancel

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

Simplify

x = \frac{1.0}{2.0}

Solve

x

x = 5 \times 10^{- 1}

Conversion Equation

1.0 (h a l f c i r c l e) = 5 \times 10^{- 1} (r e v o l u t i o n)

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