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Height of Circular Segment Formula

GoHeight of Circular Segment given Chord Length and Central Angle Formula

GoHeight of Circular Segment given Radius and Central Angle Formula

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Height of Circular Segment is the perpendicular distance of the chord of the Circular Segment from the center of the circle of Circular Segment. Check FAQs

h = r - \sqrt{r^{2} - {(\frac{l c}{2})}^{2}}

h - Height of Circular Segment?r - Radius of Circular Segment?l_c - Chord Length of Circular Segment?

Height of Circular Segment Example

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Here is how the Height of Circular Segment equation looks like with Values.

Here is how the Height of Circular Segment equation looks like with Units.

Here is how the Height of Circular Segment equation looks like.

5 = 5 - \sqrt{5^{2} - {(\frac{10}{2})}^{2}}

5m = 5m - \sqrt{{5m}^{2} - {(\frac{10m}{2})}^{2}}

5 = 5 - \sqrt{5^{2} - {(\frac{10}{2})}^{2}}

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Height of Circular Segment Solution

Follow our step by step solution on how to calculate Height of Circular Segment?

FIRST Step Consider the formula

h = r - \sqrt{r^{2} - {(\frac{l c}{2})}^{2}}

Next Step Substitute values of Variables

∴

h = 5m - \sqrt{{5m}^{2} - {(\frac{10m}{2})}^{2}}

Next Step Prepare to Evaluate

∴

h = 5 - \sqrt{5^{2} - {(\frac{10}{2})}^{2}}

LAST Step Evaluate

∴

h = 5m

Height of Circular Segment Formula Elements

Variables

Functions

Height of Circular Segment

Height of Circular Segment is the perpendicular distance of the chord of the Circular Segment from the center of the circle of Circular Segment.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

Chord Length of Circular Segment

Chord Length of Circular Segment is the length of the linear boundary edge of a Circular Segment.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length of Circular Segment

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Height of Circular Segment

Go Height of Circular Segment given Chord Length and Central Angle

h = \frac{l c}{2} \cdot \cot (- \frac{3}{4} \cdot ∠ Central)

Go Height of Circular Segment given Radius and Central Angle

h = r \cdot (1 - \cos (\frac{∠ Central}{2}))

How to Evaluate Height of Circular Segment?

Height of Circular Segment evaluator uses Height of Circular Segment = Radius of Circular Segment-sqrt(Radius of Circular Segment^2-(Chord Length of Circular Segment/2)^2) to evaluate the Height of Circular Segment, The Height of Circular Segment formula is defined as the maximum vertical distance of the Circular Segment when the chord of Circular Segment is the base. Height of Circular Segment is denoted by h symbol.

How to evaluate Height of Circular Segment using this online evaluator? To use this online evaluator for Height of Circular Segment, enter Radius of Circular Segment (r) & Chord Length of Circular Segment (l_c) and hit the calculate button.

FAQs on Height of Circular Segment

What is the formula to find Height of Circular Segment?

The formula of Height of Circular Segment is expressed as Height of Circular Segment = Radius of Circular Segment-sqrt(Radius of Circular Segment^2-(Chord Length of Circular Segment/2)^2). Here is an example- 5 = 5-sqrt(5^2-(10/2)^2).

How to calculate Height of Circular Segment?

With Radius of Circular Segment (r) & Chord Length of Circular Segment (l_c) we can find Height of Circular Segment using the formula - Height of Circular Segment = Radius of Circular Segment-sqrt(Radius of Circular Segment^2-(Chord Length of Circular Segment/2)^2). This formula also uses Square Root (sqrt) function(s).

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

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

Height of Circular Segment=Chord Length of Circular Segment/2*cot(-3/4*Central Angle of Circular Segment)
Height of Circular Segment=Radius of Circular Segment*(1-cos(Central Angle of Circular Segment/2))

Can the Height of Circular Segment be negative?

No, the Height of Circular Segment, measured in Length cannot be negative.

Which unit is used to measure Height of Circular Segment?

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

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Height of Circular Segment Formula

​GoHeight of Circular Segment given Chord Length and Central Angle Formula

​GoHeight of Circular Segment given Radius and Central Angle Formula

Height of Circular Segment Example

Height of Circular Segment Solution

Height of Circular Segment Formula Elements

Other Formulas to find Height of Circular Segment

How to Evaluate Height of Circular Segment?

FAQs on Height of Circular Segment

Variable Name

GoHeight of Circular Segment given Chord Length and Central Angle Formula

GoHeight of Circular Segment given Radius and Central Angle Formula