Obtuse Angle of Rhombus given Area Calculator

✖Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.ⓘ Area of Rhombus [A]			+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 Area [∠_Obtuse]

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Obtuse Angle of Rhombus given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., 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.
Area of Rhombus - (Measured in Square Meter) - Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.
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

Area of Rhombus: 70 Square Meter --> 70 Square 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(A/S^2) --> pi-asin(70/10^2)

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 00.004 seconds)

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< Obtuse Angle of Rhombus Calculators

Obtuse Angle of Rhombus given both Diagonals

LaTeX 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 Area

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

Obtuse Angle of Rhombus given Short Diagonal

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

Obtuse Angle of Rhombus given Long Diagonal

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

Obtuse Angle of Rhombus given Area Formula

LaTeX Go

Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2)
∠_Obtuse = pi-asin(A/S^2)

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 Area?

Obtuse Angle of Rhombus given Area calculator uses Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2) to calculate the Obtuse Angle of Rhombus, Obtuse Angle of Rhombus given Area is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using area of the Rhombus. Obtuse Angle of Rhombus is denoted by ∠_Obtuse symbol.

How to calculate Obtuse Angle of Rhombus given Area using this online calculator? To use this online calculator for Obtuse Angle of Rhombus given Area, enter Area of Rhombus (A) & Side of Rhombus (S) and hit the calculate button. Here is how the Obtuse Angle of Rhombus given Area calculation can be explained with given input values -> 7767.76 = pi-asin(70/10^2).

FAQ

What is Obtuse Angle of Rhombus given Area?

Obtuse Angle of Rhombus given Area is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using area of the Rhombus and is represented as ∠_Obtuse = pi-asin(A/S^2) or Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2). Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus & The Side of Rhombus is the length of any of the four edges.

How to calculate Obtuse Angle of Rhombus given Area?

Obtuse Angle of Rhombus given Area is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using area of the Rhombus is calculated using Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2). To calculate Obtuse Angle of Rhombus given Area, you need Area of Rhombus (A) & Side of Rhombus (S). With our tool, you need to enter the respective value for Area 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 Area of Rhombus & Side of Rhombus. We can use 3 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))

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