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Area of Rhombus given inradius and acute or obtuse angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (4*Inradius^2)/sin(Angle)
A = (4*ri^2)/sin(α)
This formula uses 1 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
Angle - The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
Angle: 180 Degree --> 3.1415926535892 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (4*ri^2)/sin(α) --> (4*10^2)/sin(3.1415926535892)
Evaluating ... ...
A = 674052433314246
STEP 3: Convert Result to Output's Unit
674052433314246 Square Meter --> No Conversion Required
FINAL ANSWER
674052433314246 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

5 Area of Rhombus Calculators

Area of Rhombus given diagonal and half angle
area = (Diagonal^2*tan(Half angle between sides))/2 Go
Area of Rhombus given inradius and acute or obtuse angle
area = (4*Inradius^2)/sin(Angle) Go
Area of Rhombus given side and acute or obtuse angle
area = Side^2*sin(Angle) Go
Area of Rhombus given side and inradius
area = 2*Side*Inradius Go
Area of Rhombus given side and height
area = Side*Height Go

Area of Rhombus given inradius and acute or obtuse angle Formula

area = (4*Inradius^2)/sin(Angle)
A = (4*ri^2)/sin(α)

What are the properties of rhombus?

In rhombus all sides are equal, opposite angles are equal and the sum of adjacent angles are supplementary.

How to Calculate Area of Rhombus given inradius and acute or obtuse angle?

Area of Rhombus given inradius and acute or obtuse angle calculator uses area = (4*Inradius^2)/sin(Angle) to calculate the Area, Area of Rhombus given inradius and acute or obtuse angle are given can be defined as the amount of space included within the boundaries of the perimeter of the rhombus. Area and is denoted by A symbol.

How to calculate Area of Rhombus given inradius and acute or obtuse angle using this online calculator? To use this online calculator for Area of Rhombus given inradius and acute or obtuse angle, enter Inradius (ri) & Angle (α) and hit the calculate button. Here is how the Area of Rhombus given inradius and acute or obtuse angle calculation can be explained with given input values -> 6.741E+14 = (4*10^2)/sin(3.1415926535892).

FAQ

What is Area of Rhombus given inradius and acute or obtuse angle?
Area of Rhombus given inradius and acute or obtuse angle are given can be defined as the amount of space included within the boundaries of the perimeter of the rhombus and is represented as A = (4*ri^2)/sin(α) or area = (4*Inradius^2)/sin(Angle). Inradius is defined as the radius of the circle which is inscribed inside the polygon & The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Area of Rhombus given inradius and acute or obtuse angle?
Area of Rhombus given inradius and acute or obtuse angle are given can be defined as the amount of space included within the boundaries of the perimeter of the rhombus is calculated using area = (4*Inradius^2)/sin(Angle). To calculate Area of Rhombus given inradius and acute or obtuse angle, you need Inradius (ri) & Angle (α). With our tool, you need to enter the respective value for Inradius & Angle 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 Area?
In this formula, Area uses Inradius & Angle. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = Side^2*sin(Angle)
  • area = 2*Side*Inradius
  • area = (4*Inradius^2)/sin(Angle)
  • area = (Diagonal^2*tan(Half angle between sides))/2
  • area = Side*Height
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