Tangent Length Calculator

✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%
✖Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.ⓘ Deflection Angle [Δ]			+10% -10%

✖Tangent Length is equal to the length of a line segment with endpoints as the external point and the point of contact.ⓘ Tangent Length [T]

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Tangent Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangent Length = Curve Radius*tan(Deflection Angle/2)
T = R_Curve*tan(Δ/2)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Tangent Length - (Measured in Meter) - Tangent Length is equal to the length of a line segment with endpoints as the external point and the point of contact.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Deflection Angle - (Measured in Radian) - Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

STEP 1: Convert Input(s) to Base Unit

Curve Radius: 200 Meter --> 200 Meter No Conversion Required
Deflection Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = R_Curve*tan(Δ/2) --> 200*tan(1.1344640137961/2)

Evaluating ... ...

T = 127.414052161469

STEP 3: Convert Result to Output's Unit

127.414052161469 Meter --> No Conversion Required

FINAL ANSWER

127.414052161469 ≈ 127.4141 Meter <-- Tangent Length

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Simple Circular Curve Calculators

Length of Curve if 30m Chord Definition

LaTeX Go Length of Curve = 30*Deflection Angle/Angle for Arc*(180/pi)

Deflection Angle given Length of Curve

LaTeX Go Deflection Angle = Length of Curve/Curve Radius

Radius of Curve given Length

LaTeX Go Curve Radius = Length of Curve/Deflection Angle

Length of Curve

LaTeX Go Length of Curve = Curve Radius*Deflection Angle

Tangent Length Formula

LaTeX Go

Tangent Length = Curve Radius*tan(Deflection Angle/2)
T = R_Curve*tan(Δ/2)

What is the Deflection Angle in Surveying?

The Deflection Angle is the angle between two tangents at the ends of a curve. It is used to define the curve and calculate the Length of Curve in surveying.

How to Calculate Tangent Length?

Tangent Length calculator uses Tangent Length = Curve Radius*tan(Deflection Angle/2) to calculate the Tangent Length, The Tangent Length formula is defined as equal to the length of a line segment with endpoints as the external point and the point of contact. Tangent Length is denoted by T symbol.

How to calculate Tangent Length using this online calculator? To use this online calculator for Tangent Length, enter Curve Radius (R_Curve) & Deflection Angle (Δ) and hit the calculate button. Here is how the Tangent Length calculation can be explained with given input values -> 127.4141 = 200*tan(1.1344640137961/2).

FAQ

What is Tangent Length?

The Tangent Length formula is defined as equal to the length of a line segment with endpoints as the external point and the point of contact and is represented as T = R_Curve*tan(Δ/2) or Tangent Length = Curve Radius*tan(Deflection Angle/2). Curve Radius is the radius of a circle whose part, say, arc is taken for consideration & Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

How to calculate Tangent Length?

The Tangent Length formula is defined as equal to the length of a line segment with endpoints as the external point and the point of contact is calculated using Tangent Length = Curve Radius*tan(Deflection Angle/2). To calculate Tangent Length, you need Curve Radius (R_Curve) & Deflection Angle (Δ). With our tool, you need to enter the respective value for Curve Radius & Deflection Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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