Acute Angle of Rhombus given Short Diagonal Calculator

✖A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.ⓘ Short Diagonal of Rhombus [d_Short]			+10% -10%
✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus [S]			+10% -10%

✖Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.ⓘ Acute Angle of Rhombus given Short Diagonal [∠_Acute]

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Acute Angle of Rhombus given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2))
∠_Acute = acos(1-d_Short^2/(2*S^2))
This formula uses 2 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

Acute Angle of Rhombus - (Measured in Radian) - Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
Short Diagonal of Rhombus - (Measured in Meter) - A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a 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

Short Diagonal of Rhombus: 8 Meter --> 8 Meter No Conversion Required
Side of Rhombus: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Acute = acos(1-d_Short^2/(2*S^2)) --> acos(1-8^2/(2*10^2))

Evaluating ... ...

∠_Acute = 0.823033692134976

STEP 3: Convert Result to Output's Unit

0.823033692134976 Radian -->47.1563569564125 Degree (Check conversion here)

FINAL ANSWER

47.1563569564125 ≈ 47.15636 Degree <-- Acute Angle of Rhombus

(Calculation completed in 00.004 seconds)

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Created by Shashwati Tidke

Vishwakarma Institute of Technology (VIT), Pune

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< Acute Angle of Rhombus Calculators

Acute Angle of Rhombus given both Diagonals

LaTeX Go Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))

Acute Angle of Rhombus given Short Diagonal

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

Acute Angle of Rhombus given Long Diagonal

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

Acute Angle of Rhombus given Area

LaTeX Go Acute Angle of Rhombus = asin(Area of Rhombus/Side of Rhombus^2)

< Angles of Rhombus Calculators

Acute Angle of Rhombus given both Diagonals

LaTeX Go Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))

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))

Acute Angle of Rhombus given Short Diagonal

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

Acute Angle of Rhombus given Long Diagonal

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

Acute Angle of Rhombus given Short Diagonal Formula

LaTeX Go

Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2))
∠_Acute = acos(1-d_Short^2/(2*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.

What is Short diagonal?

Short diagonal of rhombus is the smallest straight line connecting the opposite corners of a Rhombus through its vertex.

How to Calculate Acute Angle of Rhombus given Short Diagonal?

Acute Angle of Rhombus given Short Diagonal calculator uses Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)) to calculate the Acute Angle of Rhombus, The Acute Angle of Rhombus given Short Diagonal is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using a short diagonal of the Rhombus. Acute Angle of Rhombus is denoted by ∠_Acute symbol.

How to calculate Acute Angle of Rhombus given Short Diagonal using this online calculator? To use this online calculator for Acute Angle of Rhombus given Short Diagonal, enter Short Diagonal of Rhombus (d_Short) & Side of Rhombus (S) and hit the calculate button. Here is how the Acute Angle of Rhombus given Short Diagonal calculation can be explained with given input values -> 2701.86 = acos(1-8^2/(2*10^2)).

FAQ

What is Acute Angle of Rhombus given Short Diagonal?

The Acute Angle of Rhombus given Short Diagonal is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using a short diagonal of the Rhombus and is represented as ∠_Acute = acos(1-d_Short^2/(2*S^2)) or Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)). A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus & The Side of Rhombus is the length of any of the four edges.

How to calculate Acute Angle of Rhombus given Short Diagonal?

The Acute Angle of Rhombus given Short Diagonal is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using a short diagonal of the Rhombus is calculated using Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)). To calculate Acute Angle of Rhombus given Short Diagonal, you need Short Diagonal of Rhombus (d_Short) & Side of Rhombus (S). With our tool, you need to enter the respective value for Short Diagonal 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 Acute Angle of Rhombus?

In this formula, Acute Angle of Rhombus uses Short Diagonal of Rhombus & Side of Rhombus. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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