Angle of Elliptical Sector Calculator

✖Second Leg Angle of Elliptical Sector is the angle made by the semi major axis on the right and the linear edge of the sector which is far from that semi major axis of the Elliptical Sector.ⓘ Second Leg Angle of Elliptical Sector [∠_Leg(2)]			+10% -10%
✖First Leg Angle of Elliptical Sector is the angle made by the semi major axis on the right and the linear edge of the sector which is adjacent to that semi major axis of the Elliptical Sector.ⓘ First Leg Angle of Elliptical Sector [∠_Leg(1)]			+10% -10%

✖Angle of Elliptical Sector is the angle made by the linear edges of the sector at the center of the Elliptical Sector.ⓘ Angle of Elliptical Sector [∠_Sector]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Elliptical Shapes and Sub Sections Formulas PDF PDF Image

Angle of Elliptical Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Elliptical Sector = Second Leg Angle of Elliptical Sector-First Leg Angle of Elliptical Sector
∠_Sector = ∠_Leg(2)-∠_Leg(1)
This formula uses 3 Variables

Variables Used

Angle of Elliptical Sector - (Measured in Radian) - Angle of Elliptical Sector is the angle made by the linear edges of the sector at the center of the Elliptical Sector.
Second Leg Angle of Elliptical Sector - (Measured in Radian) - Second Leg Angle of Elliptical Sector is the angle made by the semi major axis on the right and the linear edge of the sector which is far from that semi major axis of the Elliptical Sector.
First Leg Angle of Elliptical Sector - (Measured in Radian) - First Leg Angle of Elliptical Sector is the angle made by the semi major axis on the right and the linear edge of the sector which is adjacent to that semi major axis of the Elliptical Sector.

STEP 1: Convert Input(s) to Base Unit

Second Leg Angle of Elliptical Sector: 120 Degree --> 2.0943951023928 Radian (Check conversion here)
First Leg Angle of Elliptical Sector: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Sector = ∠_Leg(2)-∠_Leg(1) --> 2.0943951023928-0.5235987755982

Evaluating ... ...

∠_Sector = 1.5707963267946

STEP 3: Convert Result to Output's Unit

1.5707963267946 Radian -->89.9999999999999 Degree (Check conversion here)

FINAL ANSWER

89.9999999999999 ≈ 90 Degree <-- Angle of Elliptical Sector

(Calculation completed in 00.015 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Ellipse » Elliptical Shapes and Sub Sections » Elliptical Sector » Angle of Elliptical Sector

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< Elliptical Sector Calculators

First Leg of Elliptical Sector

LaTeX Go First Leg of Elliptical Sector = sqrt((Semi Major Axis of Elliptical Sector^2*Semi Minor Axis of Elliptical Sector^2)/((Semi Major Axis of Elliptical Sector^2*sin(First Leg Angle of Elliptical Sector)^2)+(Semi Minor Axis of Elliptical Sector^2*cos(First Leg Angle of Elliptical Sector)^2)))

Second Leg Angle of Elliptical Sector

LaTeX Go Second Leg Angle of Elliptical Sector = Angle of Elliptical Sector+First Leg Angle of Elliptical Sector

First Leg Angle of Elliptical Sector

LaTeX Go First Leg Angle of Elliptical Sector = Second Leg Angle of Elliptical Sector-Angle of Elliptical Sector

Angle of Elliptical Sector

LaTeX Go Angle of Elliptical Sector = Second Leg Angle of Elliptical Sector-First Leg Angle of Elliptical Sector

Angle of Elliptical Sector Formula

LaTeX Go

Angle of Elliptical Sector = Second Leg Angle of Elliptical Sector-First Leg Angle of Elliptical Sector
∠_Sector = ∠_Leg(2)-∠_Leg(1)

What is an Elliptical Sector?

An Elliptic Sector is a region bounded by an arc of an ellipse and line segments connecting the center of the ellipse and the endpoints of the arc. The angle made by those line segments is the angle of Elliptical Sector.

What is an Ellipse?

An Ellipse is basically a conic section. If we cut a right circular cone using a plane at an angle greater than the semi angle of cone. Geometrically an Ellipse is the collection of all points in a plane such that the sum of the distances to them from two fixed points is a constant. Those fixed points are the foci of the Ellipse. The largest chord of the Ellipse is the major axis and the chord which passing through the center and perpendicular to the major axis is the minor axis of the ellipse. Circle is a special case of Ellipse in which both foci coincide at the center and so both major and minor axes become equal in length which is called the diameter of the circle.

How to Calculate Angle of Elliptical Sector?

Angle of Elliptical Sector calculator uses Angle of Elliptical Sector = Second Leg Angle of Elliptical Sector-First Leg Angle of Elliptical Sector to calculate the Angle of Elliptical Sector, Angle of Elliptical Sector formula is defined as the angle made by the linear edges of the sector at the center of the Elliptical Sector. Angle of Elliptical Sector is denoted by ∠_Sector symbol.

How to calculate Angle of Elliptical Sector using this online calculator? To use this online calculator for Angle of Elliptical Sector, enter Second Leg Angle of Elliptical Sector (∠_Leg(2)) & First Leg Angle of Elliptical Sector (∠_Leg(1)) and hit the calculate button. Here is how the Angle of Elliptical Sector calculation can be explained with given input values -> 5156.62 = 2.0943951023928-0.5235987755982.

FAQ

What is Angle of Elliptical Sector?

Angle of Elliptical Sector formula is defined as the angle made by the linear edges of the sector at the center of the Elliptical Sector and is represented as ∠_Sector = ∠_Leg(2)-∠_Leg(1) or Angle of Elliptical Sector = Second Leg Angle of Elliptical Sector-First Leg Angle of Elliptical Sector. Second Leg Angle of Elliptical Sector is the angle made by the semi major axis on the right and the linear edge of the sector which is far from that semi major axis of the Elliptical Sector & First Leg Angle of Elliptical Sector is the angle made by the semi major axis on the right and the linear edge of the sector which is adjacent to that semi major axis of the Elliptical Sector.

How to calculate Angle of Elliptical Sector?

Angle of Elliptical Sector formula is defined as the angle made by the linear edges of the sector at the center of the Elliptical Sector is calculated using Angle of Elliptical Sector = Second Leg Angle of Elliptical Sector-First Leg Angle of Elliptical Sector. To calculate Angle of Elliptical Sector, you need Second Leg Angle of Elliptical Sector (∠_Leg(2)) & First Leg Angle of Elliptical Sector (∠_Leg(1)). With our tool, you need to enter the respective value for Second Leg Angle of Elliptical Sector & First Leg Angle of Elliptical Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search