Inner Semi Major Axis of Elliptical Ring Calculator

✖Outer Semi Major Axis of Elliptical Ring is half of the length of the chord of the outer ellipse which passing through both foci of the outer ellipse of the Elliptical Ring.ⓘ Outer Semi Major Axis of Elliptical Ring [a_Outer]			+10% -10%
✖Ring Width of Elliptical Ring is the perpendicular distance between outer and inner ellipses of the Elliptical Ring.ⓘ Ring Width of Elliptical Ring [w_Ring]			+10% -10%

✖Inner Semi Major Axis of Elliptical Ring is half of the length of the chord of the inner ellipse which passing through both foci of the inner ellipse of the Elliptical Ring.ⓘ Inner Semi Major Axis of Elliptical Ring [a_Inner]

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Inner Semi Major Axis of Elliptical Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Semi Major Axis of Elliptical Ring = Outer Semi Major Axis of Elliptical Ring-Ring Width of Elliptical Ring
a_Inner = a_Outer-w_Ring
This formula uses 3 Variables

Variables Used

Inner Semi Major Axis of Elliptical Ring - (Measured in Meter) - Inner Semi Major Axis of Elliptical Ring is half of the length of the chord of the inner ellipse which passing through both foci of the inner ellipse of the Elliptical Ring.
Outer Semi Major Axis of Elliptical Ring - (Measured in Meter) - Outer Semi Major Axis of Elliptical Ring is half of the length of the chord of the outer ellipse which passing through both foci of the outer ellipse of the Elliptical Ring.
Ring Width of Elliptical Ring - (Measured in Meter) - Ring Width of Elliptical Ring is the perpendicular distance between outer and inner ellipses of the Elliptical Ring.

STEP 1: Convert Input(s) to Base Unit

Outer Semi Major Axis of Elliptical Ring: 10 Meter --> 10 Meter No Conversion Required
Ring Width of Elliptical Ring: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_Inner = a_Outer-w_Ring --> 10-3

Evaluating ... ...

a_Inner = 7

STEP 3: Convert Result to Output's Unit

7 Meter --> No Conversion Required

FINAL ANSWER

7 Meter <-- Inner Semi Major Axis of Elliptical Ring

(Calculation completed in 00.006 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< Inner Axis of Elliptical Ring Calculators

Inner Semi Major Axis of Elliptical Ring

LaTeX Go Inner Semi Major Axis of Elliptical Ring = Outer Semi Major Axis of Elliptical Ring-Ring Width of Elliptical Ring

Inner Semi Minor Axis of Elliptical Ring

LaTeX Go Inner Semi Minor Axis of Elliptical Ring = Outer Semi Minor Axis of Elliptical Ring-Ring Width of Elliptical Ring

Inner Semi Major Axis of Elliptical Ring Formula

LaTeX Go

Inner Semi Major Axis of Elliptical Ring = Outer Semi Major Axis of Elliptical Ring-Ring Width of Elliptical Ring
a_Inner = a_Outer-w_Ring

What is an Elliptical Ring?

An Elliptical Ring is an ellipse in which another smaller ellipse is removed from the center, such that the difference of inner and outer semi axes (semi major axes and semi minor axes) are equal. That difference is called the width of the Elliptical Ring.

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 Inner Semi Major Axis of Elliptical Ring?

Inner Semi Major Axis of Elliptical Ring calculator uses Inner Semi Major Axis of Elliptical Ring = Outer Semi Major Axis of Elliptical Ring-Ring Width of Elliptical Ring to calculate the Inner Semi Major Axis of Elliptical Ring, Inner Semi Major Axis of Elliptical Ring formula is defined as half of the length of the chord of the inner ellipse which passes through both foci of the inner ellipse of the Elliptical Ring. Inner Semi Major Axis of Elliptical Ring is denoted by a_Inner symbol.

How to calculate Inner Semi Major Axis of Elliptical Ring using this online calculator? To use this online calculator for Inner Semi Major Axis of Elliptical Ring, enter Outer Semi Major Axis of Elliptical Ring (a_Outer) & Ring Width of Elliptical Ring (w_Ring) and hit the calculate button. Here is how the Inner Semi Major Axis of Elliptical Ring calculation can be explained with given input values -> 7 = 10-3.

FAQ

What is Inner Semi Major Axis of Elliptical Ring?

Inner Semi Major Axis of Elliptical Ring formula is defined as half of the length of the chord of the inner ellipse which passes through both foci of the inner ellipse of the Elliptical Ring and is represented as a_Inner = a_Outer-w_Ring or Inner Semi Major Axis of Elliptical Ring = Outer Semi Major Axis of Elliptical Ring-Ring Width of Elliptical Ring. Outer Semi Major Axis of Elliptical Ring is half of the length of the chord of the outer ellipse which passing through both foci of the outer ellipse of the Elliptical Ring & Ring Width of Elliptical Ring is the perpendicular distance between outer and inner ellipses of the Elliptical Ring.

How to calculate Inner Semi Major Axis of Elliptical Ring?

Inner Semi Major Axis of Elliptical Ring formula is defined as half of the length of the chord of the inner ellipse which passes through both foci of the inner ellipse of the Elliptical Ring is calculated using Inner Semi Major Axis of Elliptical Ring = Outer Semi Major Axis of Elliptical Ring-Ring Width of Elliptical Ring. To calculate Inner Semi Major Axis of Elliptical Ring, you need Outer Semi Major Axis of Elliptical Ring (a_Outer) & Ring Width of Elliptical Ring (w_Ring). With our tool, you need to enter the respective value for Outer Semi Major Axis of Elliptical Ring & Ring Width of Elliptical Ring 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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