Obtuse Angle between Diagonals of Rectangle given Length and Circumradius Calculator

✖Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.ⓘ Length of Rectangle [l]			+10% -10%
✖Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.ⓘ Circumradius of Rectangle [r_c]			+10% -10%

✖Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.ⓘ Obtuse Angle between Diagonals of Rectangle given Length and Circumradius [∠_d(Obtuse)]

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Obtuse Angle between Diagonals of Rectangle given Length and Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle))
∠_d(Obtuse) = 2*asin(l/(2*r_c))
This formula uses 2 Functions, 3 Variables

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 between Diagonals of Rectangle - (Measured in Radian) - Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees.
Length of Rectangle - (Measured in Meter) - Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Circumradius of Rectangle - (Measured in Meter) - Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

STEP 1: Convert Input(s) to Base Unit

Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required
Circumradius of Rectangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_d(Obtuse) = 2*asin(l/(2*r_c)) --> 2*asin(8/(2*5))

Evaluating ... ...

∠_d(Obtuse) = 1.85459043600322

STEP 3: Convert Result to Output's Unit

1.85459043600322 Radian -->106.260204708332 Degree (Check conversion here)

FINAL ANSWER

106.260204708332 ≈ 106.2602 Degree <-- Obtuse Angle between Diagonals of Rectangle

(Calculation completed in 00.004 seconds)

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< Obtuse Angle between Diagonals of Rectangle Calculators

Obtuse Angle between Diagonals of Rectangle given Breadth and Circumradius

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/(2*Circumradius of Rectangle))

Obtuse Angle between Diagonals of Rectangle given Length and Circumradius

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle))

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle)

Obtuse Angle between Diagonals of Rectangle given Diagonal and Length

LaTeX Go Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/Diagonal of Rectangle)

Obtuse Angle between Diagonals of Rectangle given Length and Circumradius Formula

LaTeX Go

Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle))
∠_d(Obtuse) = 2*asin(l/(2*r_c))

What is Angle?

In geometry, an angle can be defined as the figure formed by two rays starting from a common endpoint. As a measure, angle is the degree of wideness of the two rays forming the angle. Degree and Radian are the most common units of angle and they are related by pi radian = 180 degrees, where the two rays together form a straight line.

Property of angles formed between the diagonals of rectangle.

The diagonals of a rectangle are not perpendicular to each other except square. The angles formed by the intersection are not always the same measure, one is acute and another is obtuse. Opposite central angles are congruent and have the same size.

How to Calculate Obtuse Angle between Diagonals of Rectangle given Length and Circumradius?

Obtuse Angle between Diagonals of Rectangle given Length and Circumradius calculator uses Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle)) to calculate the Obtuse Angle between Diagonals of Rectangle, The Obtuse angle between Diagonals of Rectangle given Length and Circumradius formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees, all the vertices of Rectangle are lying on the circle of given Radius, and calculated using Length and Circumradius of Rectangle. Obtuse Angle between Diagonals of Rectangle is denoted by ∠_d(Obtuse) symbol.

How to calculate Obtuse Angle between Diagonals of Rectangle given Length and Circumradius using this online calculator? To use this online calculator for Obtuse Angle between Diagonals of Rectangle given Length and Circumradius, enter Length of Rectangle (l) & Circumradius of Rectangle (r_c) and hit the calculate button. Here is how the Obtuse Angle between Diagonals of Rectangle given Length and Circumradius calculation can be explained with given input values -> 6088.261 = 2*asin(8/(2*5)).

FAQ

What is Obtuse Angle between Diagonals of Rectangle given Length and Circumradius?

The Obtuse angle between Diagonals of Rectangle given Length and Circumradius formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees, all the vertices of Rectangle are lying on the circle of given Radius, and calculated using Length and Circumradius of Rectangle and is represented as ∠_d(Obtuse) = 2*asin(l/(2*r_c)) or Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle)). Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides & Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

How to calculate Obtuse Angle between Diagonals of Rectangle given Length and Circumradius?

The Obtuse angle between Diagonals of Rectangle given Length and Circumradius formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees, all the vertices of Rectangle are lying on the circle of given Radius, and calculated using Length and Circumradius of Rectangle is calculated using Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/(2*Circumradius of Rectangle)). To calculate Obtuse Angle between Diagonals of Rectangle given Length and Circumradius, you need Length of Rectangle (l) & Circumradius of Rectangle (r_c). With our tool, you need to enter the respective value for Length of Rectangle & Circumradius of Rectangle 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 between Diagonals of Rectangle?

In this formula, Obtuse Angle between Diagonals of Rectangle uses Length of Rectangle & Circumradius of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Obtuse Angle between Diagonals of Rectangle = 2*asin(Length of Rectangle/Diagonal of Rectangle)
Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle)
Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/(2*Circumradius of Rectangle))

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