FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Perimeter of Circular Segment given Central Angle Formula

GoPerimeter of Circular Segment Formula

Fx Copy

LaTeX Copy

Perimeter of Circular Segment is the total length of all the boundary edges of a Circular Segment. Check FAQs

P = (r \cdot ∠ Central) + (2 \cdot r \cdot \sin (\frac{∠ Central}{2}))

P - Perimeter of Circular Segment?r - Radius of Circular Segment?∠_Central - Central Angle of Circular Segment?

Perimeter of Circular Segment given Central Angle Example

With values

With units

Only example

Here is how the Perimeter of Circular Segment given Central Angle equation looks like with Values.

Here is how the Perimeter of Circular Segment given Central Angle equation looks like with Units.

Here is how the Perimeter of Circular Segment given Central Angle equation looks like.

25.708 = (5 \cdot 180) + (2 \cdot 5 \cdot \sin (\frac{180}{2}))

25.708m = (5m \cdot 180°) + (2 \cdot 5m \cdot \sin (\frac{180°}{2}))

25.708 = (5 \cdot 180) + (2 \cdot 5 \cdot \sin (\frac{180}{2}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Perimeter of Circular Segment given Central Angle

Perimeter of Circular Segment given Central Angle Solution

Follow our step by step solution on how to calculate Perimeter of Circular Segment given Central Angle?

FIRST Step Consider the formula

P = (r \cdot ∠ Central) + (2 \cdot r \cdot \sin (\frac{∠ Central}{2}))

Next Step Substitute values of Variables

∴

P = (5m \cdot 180°) + (2 \cdot 5m \cdot \sin (\frac{180°}{2}))

Next Step Convert Units

∴

P = (5m \cdot 3.1416rad) + (2 \cdot 5m \cdot \sin (\frac{3.1416rad}{2}))

Next Step Prepare to Evaluate

∴

P = (5 \cdot 3.1416) + (2 \cdot 5 \cdot \sin (\frac{3.1416}{2}))

Next Step Evaluate

∴

P = 25.707963267946m

LAST Step Rounding Answer

∴

P = 25.708m

Perimeter of Circular Segment given Central Angle Formula Elements

Variables

Functions

Perimeter of Circular Segment

Perimeter of Circular Segment is the total length of all the boundary edges of a Circular Segment.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Circular Segment

Radius of Circular Segment

Radius of Circular Segment is the radius of the circle from which the Circular Segment is cut.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Segment

Central Angle of Circular Segment

Central Angle of Circular Segment is the angle subtended by the arc of a Circular Segment with the center of the circle from which the Circular Segment is cut.

Symbol: ∠_Central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle of Circular Segment

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Perimeter of Circular Segment

Go Perimeter of Circular Segment

P = l Arc + l c

How to Evaluate Perimeter of Circular Segment given Central Angle?

Perimeter of Circular Segment given Central Angle evaluator uses Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2)) to evaluate the Perimeter of Circular Segment, Perimeter of Circular Segment given Central Angle is defined as the total length around the edges of Circular Segment and calculated using the central angle of the Circular Segment. Perimeter of Circular Segment is denoted by P symbol.

How to evaluate Perimeter of Circular Segment given Central Angle using this online evaluator? To use this online evaluator for Perimeter of Circular Segment given Central Angle, enter Radius of Circular Segment (r) & Central Angle of Circular Segment (∠_Central) and hit the calculate button.

FAQs on Perimeter of Circular Segment given Central Angle

What is the formula to find Perimeter of Circular Segment given Central Angle?

The formula of Perimeter of Circular Segment given Central Angle is expressed as Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2)). Here is an example- 25.70796 = (5*3.1415926535892)+(2*5*sin(3.1415926535892/2)).

How to calculate Perimeter of Circular Segment given Central Angle?

With Radius of Circular Segment (r) & Central Angle of Circular Segment (∠_Central) we can find Perimeter of Circular Segment given Central Angle using the formula - Perimeter of Circular Segment = (Radius of Circular Segment*Central Angle of Circular Segment)+(2*Radius of Circular Segment*sin(Central Angle of Circular Segment/2)). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Perimeter of Circular Segment?

Here are the different ways to Calculate Perimeter of Circular Segment-

Perimeter of Circular Segment=Arc Length of Circular Segment+Chord Length of Circular Segment

Can the Perimeter of Circular Segment given Central Angle be negative?

No, the Perimeter of Circular Segment given Central Angle, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Circular Segment given Central Angle?

Perimeter of Circular Segment given Central Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Circular Segment given Central Angle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit