Height of a segment of a circle if given chord and central angle Calculator

Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D-Geometry	Circle ↺
Circle	Segment of a circle ↺

✖The angle A is one of the angles of a triangle.ⓘ Angle A [∠A]			+10% -10%
✖Chord Length is the length of a line segment connecting any two points on the circumference of a circle.ⓘ Chord Length [l]			+10% -10%

✖Height of segment is the perpendicular from the midpoint of the arc's chord to the arc itself.ⓘ Height of a segment of a circle if given chord and central angle [h]

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Height of a segment of a circle if given chord and central angle

Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 400+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ more calculators!

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< 3 Other formulas that calculate the same Output

Height of a segment of a circle if given radius and chord

Height of segment=Radius-(sqrt(Radius^2-((Chord Length)^2)/4)) GO

Height of a segment of a circle if given chord and central angle

Height of segment=0.5*(Chord Length)*(tan(Angle A/4)) GO

Height of segment of a circle if given radius and central angle

Height of segment=Radius*(1-cos(Angle A/2)) GO

Height of a segment of a circle if given chord and central angle Formula

Height of segment=(1/2)*tan(Angle A/4)*(Chord Length)
h=(1/2)*tan(∠A/4)*(l)

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What is a circle

A circle is a round shaped figure that has no corners or edges. The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle. Segment of a Circle, A segment is a region bounded by a chord of a circle and the intercepted arc of the circle. A segment with an intercepted arc less than a semicircle is called a minor segment. A sector with an intercepted arc greater than a semi-circle is called a major segment.

How to Calculate Height of a segment of a circle if given chord and central angle?

Height of a segment of a circle if given chord and central angle calculator uses Height of segment=(1/2)*tan(Angle A/4)*(Chord Length) to calculate the Height of segment, The Height of a segment of a circle if given chord and central angle formula is defined as the length of the segment of the circle when length of the chord and the central angle is gioven. Height of segment and is denoted by h symbol.

How to calculate Height of a segment of a circle if given chord and central angle using this online calculator? To use this online calculator for Height of a segment of a circle if given chord and central angle, enter Angle A (∠A) and Chord Length (l) and hit the calculate button. Here is how the Height of a segment of a circle if given chord and central angle calculation can be explained with given input values -> 250.1397 = (1/2)*tan(30/4)*(3.8).

FAQ

What is Height of a segment of a circle if given chord and central angle?

The Height of a segment of a circle if given chord and central angle formula is defined as the length of the segment of the circle when length of the chord and the central angle is gioven and is represented as h=(1/2)*tan(∠A/4)*(l) or Height of segment=(1/2)*tan(Angle A/4)*(Chord Length). The angle A is one of the angles of a triangle and Chord Length is the length of a line segment connecting any two points on the circumference of a circle.

How to calculate Height of a segment of a circle if given chord and central angle?

The Height of a segment of a circle if given chord and central angle formula is defined as the length of the segment of the circle when length of the chord and the central angle is gioven is calculated using Height of segment=(1/2)*tan(Angle A/4)*(Chord Length). To calculate Height of a segment of a circle if given chord and central angle, you need Angle A (∠A) and Chord Length (l). With our tool, you need to enter the respective value for Angle A and Chord Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of segment?

In this formula, Height of segment uses Angle A and Chord Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of segment=Radius*(1-cos(Angle A/2))
Height of segment=Radius-(sqrt(Radius^2-((Chord Length)^2)/4))
Height of segment=0.5*(Chord Length)*(tan(Angle A/4))

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