Tangent Angle of Circular Arc Calculator

✖Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.ⓘ Angle of Circular Arc [∠_Arc]

+10%

-10%

✖Tangent Angle of Circular Arc is the angle subtended by the tangents drawn at the end points of a Circular Arc.ⓘ Tangent Angle of Circular Arc [∠_Tangent]

⎘ Copy

👎

Formula

✖

Tangent Angle of Circular Arc

Formula

`"∠"_{"Tangent"} = pi-"∠"_{"Arc"}`

Example

`"140°"=pi-"40°"`

Calculator

LaTeX

Reset

👍

Download Circular Arc and Circular Quadrant Formulas PDF

Tangent Angle of Circular Arc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangent Angle of Circular Arc = pi-Angle of Circular Arc
∠_Tangent = pi-∠_Arc
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tangent Angle of Circular Arc - (Measured in Radian) - Tangent Angle of Circular Arc is the angle subtended by the tangents drawn at the end points of a Circular Arc.
Angle of Circular Arc - (Measured in Radian) - Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.

STEP 1: Convert Input(s) to Base Unit

Angle of Circular Arc: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Tangent = pi-∠_Arc --> pi-0.698131700797601

Evaluating ... ...

∠_Tangent = 2.44346095279219

STEP 3: Convert Result to Output's Unit

2.44346095279219 Radian -->140.000000000034 Degree (Check conversion here)

FINAL ANSWER

140.000000000034 ≈ 140 Degree <-- Tangent Angle of Circular Arc

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Circle » Circular Arc and Circular Quadrant » Circular Arc » Tangent Angle of Circular Arc » Tangent Angle of Circular Arc

Credits

Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 2 Tangent Angle of Circular Arc Calculators

Tangent Angle of Circular Arc given Major and Minor Arc Length

Go Tangent Angle of Circular Arc = pi*(Major Arc Length of Circular Arc-Minor Arc Length of Circular Arc)/(Major Arc Length of Circular Arc+Minor Arc Length of Circular Arc)

Tangent Angle of Circular Arc

Go Tangent Angle of Circular Arc = pi-Angle of Circular Arc

Tangent Angle of Circular Arc Formula

Tangent Angle of Circular Arc = pi-Angle of Circular Arc
∠_Tangent = pi-∠_Arc

What is a Circular Arc?

Circular Arc is basically a piece of the circumference of a circle. More specifically it is a curve cut from the boundary of a circle in a particular central angle, which is the angle subtended by the end points of the curve with respect to the center of the circle. Any two points on a circle will give a pair of supplementary arcs. Out of them, the larger arc is called major arc and the smaller arc is called minor arc.

What is Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Tangent Angle of Circular Arc?

Tangent Angle of Circular Arc calculator uses Tangent Angle of Circular Arc = pi-Angle of Circular Arc to calculate the Tangent Angle of Circular Arc, Tangent Angle of Circular Arc formula is defined as the angle subtended by the tangents drawn at the endpoints of a Circular Arc. Tangent Angle of Circular Arc is denoted by ∠_Tangent symbol.

How to calculate Tangent Angle of Circular Arc using this online calculator? To use this online calculator for Tangent Angle of Circular Arc, enter Angle of Circular Arc (∠_Arc) and hit the calculate button. Here is how the Tangent Angle of Circular Arc calculation can be explained with given input values -> 8021.409 = pi-0.698131700797601.

FAQ

What is Tangent Angle of Circular Arc?

Tangent Angle of Circular Arc formula is defined as the angle subtended by the tangents drawn at the endpoints of a Circular Arc and is represented as ∠_Tangent = pi-∠_Arc or Tangent Angle of Circular Arc = pi-Angle of Circular Arc. Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.

How to calculate Tangent Angle of Circular Arc?

Tangent Angle of Circular Arc formula is defined as the angle subtended by the tangents drawn at the endpoints of a Circular Arc is calculated using Tangent Angle of Circular Arc = pi-Angle of Circular Arc. To calculate Tangent Angle of Circular Arc, you need Angle of Circular Arc (∠_Arc). With our tool, you need to enter the respective value for Angle of Circular Arc 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 Tangent Angle of Circular Arc?

In this formula, Tangent Angle of Circular Arc uses Angle of Circular Arc. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tangent Angle of Circular Arc = pi*(Major Arc Length of Circular Arc-Minor Arc Length of Circular Arc)/(Major Arc Length of Circular Arc+Minor Arc Length of Circular Arc)

Home

FREE PDFs

🔍 Search