Obtuse Angle of Rhombus given Height Calculator

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✖Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.ⓘ Height of Rhombus [h]			+10% -10%
✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus [S]			+10% -10%

✖Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.ⓘ Obtuse Angle of Rhombus given Height [∠_Obtuse]

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Formula

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Obtuse Angle of Rhombus given Height

Formula

`"∠"_{"Obtuse"} = pi-asin("h"/"S")`

Example

`"135.573°"=pi-asin("7m"/"10m")`

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Obtuse Angle of Rhombus given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Obtuse Angle of Rhombus = pi-asin(Height of Rhombus/Side of Rhombus)
∠_Obtuse = pi-asin(h/S)
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Trigonometric sine function, sin(Angle)
asin - Inverse trigonometric sine function, asin(Number)

Variables Used

Obtuse Angle of Rhombus - (Measured in Radian) - Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.
Height of Rhombus - (Measured in Meter) - Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.

STEP 1: Convert Input(s) to Base Unit

Height of Rhombus: 7 Meter --> 7 Meter No Conversion Required
Side of Rhombus: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Obtuse = pi-asin(h/S) --> pi-asin(7/10)

Evaluating ... ...

∠_Obtuse = 2.36619515697904

STEP 3: Convert Result to Output's Unit

2.36619515697904 Radian -->135.57299599922 Degree (Check conversion here)

FINAL ANSWER

135.57299599922 ≈ 135.573 Degree <-- Obtuse Angle of Rhombus

(Calculation completed in 00.005 seconds)

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Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 700+ more calculators!

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Mumbai University (DJSCE), Mumbai

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< 6 Obtuse Angle of Rhombus Calculators

Obtuse Angle of Rhombus given both Diagonals

Go Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))

Obtuse Angle of Rhombus given Inradius

Go Obtuse Angle of Rhombus = pi-asin((2*Inradius of Rhombus)/Side of Rhombus)

Obtuse Angle of Rhombus given Height

Go Obtuse Angle of Rhombus = pi-asin(Height of Rhombus/Side of Rhombus)

Obtuse Angle of Rhombus given Area

Go Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2)

Obtuse Angle of Rhombus given Short Diagonal

Go Obtuse Angle of Rhombus = acos(Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)

Obtuse Angle of Rhombus given Long Diagonal

Go Obtuse Angle of Rhombus = acos(1-Long Diagonal of Rhombus^2/(2*Side of Rhombus^2))

Obtuse Angle of Rhombus given Height Formula

Obtuse Angle of Rhombus = pi-asin(Height of Rhombus/Side of Rhombus)
∠_Obtuse = pi-asin(h/S)

What is Rhombus?

A Rhombus is a special case of a parallelogram. In a Rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a Rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or Rhombus diamond. The plural form of a Rhombus is Rhombi or Rhombuses.

How to Calculate Obtuse Angle of Rhombus given Height?

Obtuse Angle of Rhombus given Height calculator uses Obtuse Angle of Rhombus = pi-asin(Height of Rhombus/Side of Rhombus) to calculate the Obtuse Angle of Rhombus, The Obtuse Angle of Rhombus given Height is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using height of the Rhombus. Obtuse Angle of Rhombus is denoted by ∠_Obtuse symbol.

How to calculate Obtuse Angle of Rhombus given Height using this online calculator? To use this online calculator for Obtuse Angle of Rhombus given Height, enter Height of Rhombus (h) & Side of Rhombus (S) and hit the calculate button. Here is how the Obtuse Angle of Rhombus given Height calculation can be explained with given input values -> 135.573 = pi-asin(7/10).

FAQ

What is Obtuse Angle of Rhombus given Height?

The Obtuse Angle of Rhombus given Height is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using height of the Rhombus and is represented as ∠_Obtuse = pi-asin(h/S) or Obtuse Angle of Rhombus = pi-asin(Height of Rhombus/Side of Rhombus). Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side & The Side of Rhombus is the length of any of the four edges.

How to calculate Obtuse Angle of Rhombus given Height?

The Obtuse Angle of Rhombus given Height is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using height of the Rhombus is calculated using Obtuse Angle of Rhombus = pi-asin(Height of Rhombus/Side of Rhombus). To calculate Obtuse Angle of Rhombus given Height, you need Height of Rhombus (h) & Side of Rhombus (S). With our tool, you need to enter the respective value for Height of Rhombus & Side of Rhombus 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 Obtuse Angle of Rhombus?

In this formula, Obtuse Angle of Rhombus uses Height of Rhombus & Side of Rhombus. We can use 5 other way(s) to calculate the same, which is/are as follows -

Obtuse Angle of Rhombus = acos(Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)
Obtuse Angle of Rhombus = acos(1-Long Diagonal of Rhombus^2/(2*Side of Rhombus^2))
Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2)
Obtuse Angle of Rhombus = pi-asin((2*Inradius of Rhombus)/Side of Rhombus)

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