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Central Angle given Proportionate Perimeter Formula

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A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B. Check FAQs

∠ central = (P p \cdot (360 \cdot \frac{π}{180}))

∠_central - Central Angle?P_p - Proportionate perimeter?π - Archimedes' constant?

Central Angle given Proportionate Perimeter Example

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Here is how the Central Angle given Proportionate Perimeter equation looks like with Values.

Here is how the Central Angle given Proportionate Perimeter equation looks like with Units.

Here is how the Central Angle given Proportionate Perimeter equation looks like.

187.2 = (0.52 \cdot (360 \cdot \frac{3.1416}{180}))

187.2° = (0.52 \cdot (360 \cdot \frac{3.1416}{180}))

187.2 = (0.52 \cdot (360 \cdot \frac{3.1416}{180}))

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Central Angle given Proportionate Perimeter Solution

Follow our step by step solution on how to calculate Central Angle given Proportionate Perimeter?

FIRST Step Consider the formula

∠ central = (P p \cdot (360 \cdot \frac{π}{180}))

Next Step Substitute values of Variables

∴

∠ central = (0.52 \cdot (360 \cdot \frac{π}{180}))

Next Step Substitute values of Constants

∴

∠ central = (0.52 \cdot (360 \cdot \frac{3.1416}{180}))

Next Step Prepare to Evaluate

∴

∠ central = (0.52 \cdot (360 \cdot \frac{3.1416}{180}))

Next Step Evaluate

∴

∠ central = 3.26725635973339rad

Next Step Convert to Output's Unit

∴

∠ central = 187.200000000035°

LAST Step Rounding Answer

∴

∠ central = 187.2°

Central Angle given Proportionate Perimeter Formula Elements

Variables

Constants

Central Angle

A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.

Symbol: ∠_central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle

Proportionate perimeter

Proportionate perimeter is the ratio of perimeter while running partially full to running full.

Symbol: P_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionate perimeter

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Proportionate Perimeter category

Go Proportionate Perimeter given Wetted Perimeter

P p = \frac{P w}{P}

Go Proportionate Perimeter given Central Angle

P p = (\frac{∠ central}{360 \cdot \frac{π}{180}})

How to Evaluate Central Angle given Proportionate Perimeter?

Central Angle given Proportionate Perimeter evaluator uses Central Angle = (Proportionate perimeter*(360*pi/180)) to evaluate the Central Angle, The Central Angle given Proportionate Perimeter is an angle whose apex (vertex) is defined as the angle subtended at the center of a circular pipe by the arc length of the wetted perimeter when the pipe is partially filled. Central Angle is denoted by ∠_central symbol.

How to evaluate Central Angle given Proportionate Perimeter using this online evaluator? To use this online evaluator for Central Angle given Proportionate Perimeter, enter Proportionate perimeter (P_p) and hit the calculate button.

FAQs on Central Angle given Proportionate Perimeter

What is the formula to find Central Angle given Proportionate Perimeter?

The formula of Central Angle given Proportionate Perimeter is expressed as Central Angle = (Proportionate perimeter*(360*pi/180)). Here is an example- 10725.77 = (0.52*(360*pi/180)).

How to calculate Central Angle given Proportionate Perimeter?

With Proportionate perimeter (P_p) we can find Central Angle given Proportionate Perimeter using the formula - Central Angle = (Proportionate perimeter*(360*pi/180)). This formula also uses Archimedes' constant .

Can the Central Angle given Proportionate Perimeter be negative?

No, the Central Angle given Proportionate Perimeter, measured in Angle cannot be negative.

Which unit is used to measure Central Angle given Proportionate Perimeter?

Central Angle given Proportionate Perimeter is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Central Angle given Proportionate Perimeter can be measured.

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