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Outer angle of Fourstar Solution

STEP 0: Pre-Calculation Summary
Formula Used
Outer Angle of Polygram (in Degrees) = Inner Angle of Polygram (in Degrees)+(pi/2)
β = α+(pi/2)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Inner Angle of Polygram (in Degrees) - Inner Angle of Polygram (in Degrees) is the angle of the isosceles triangle attached to sides of the n-sided polygon. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Inner Angle of Polygram (in Degrees): 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = α+(pi/2) --> 0.5235987755982+(pi/2)
Evaluating ... ...
β = 2.0943951023931
STEP 3: Convert Result to Output's Unit
2.0943951023931 Radian -->120.000000000017 Degree (Check conversion here)
FINAL ANSWER
120.000000000017 Degree <-- Outer Angle of Polygram (in Degrees)
(Calculation completed in 00.016 seconds)

7 Fourstar Calculators

Diameter of Fourstar given edge length and inner angle
Diameter = Length of edge*sqrt(2)*(sqrt(1+cos(Inner Angle of Polygram (in Degrees)))+sqrt(1-cos(Inner Angle of Polygram (in Degrees)))) Go
Spike height of Fourstar given inner angle
Height = (Length of edge/2)*sqrt(2*(1+cos(Inner Angle of Polygram (in Degrees)))) Go
Chord length of Fourstar
Chord Length = sqrt(2*((Length of edge)^2)*(1-cos(Outer angle))) Go
Spike base of Fourstar
Base = sqrt(2*(Edge length)^2*(1-cos(Interior Angle))) Go
Outer angle of Fourstar
Outer Angle of Polygram (in Degrees) = Inner Angle of Polygram (in Degrees)+(pi/2) Go
Area of Fourstar
Area = (2*Spike Height*Base)+(Base^2) Go
Perimeter of Fourstar
Perimeter = 8*Length of edge Go

Outer angle of Fourstar Formula

Outer Angle of Polygram (in Degrees) = Inner Angle of Polygram (in Degrees)+(pi/2)
β = α+(pi/2)

What is a Fourstar?

Fourstar is basically a four petal star shape. More clearly, it consists of a square and four identical triangles each having one side equal to the side length of the square. Each triangle is joined to the square with side of triangle with same length as the square coincide each other.

How to Calculate Outer angle of Fourstar?

Outer angle of Fourstar calculator uses Outer Angle of Polygram (in Degrees) = Inner Angle of Polygram (in Degrees)+(pi/2) to calculate the Outer Angle of Polygram (in Degrees), The Outer angle of Fourstar formula is defined as the angle between nearby edges of any two adjacent petals of the shape. Outer Angle of Polygram (in Degrees) is denoted by β symbol.

How to calculate Outer angle of Fourstar using this online calculator? To use this online calculator for Outer angle of Fourstar, enter Inner Angle of Polygram (in Degrees) (α) and hit the calculate button. Here is how the Outer angle of Fourstar calculation can be explained with given input values -> 120 = 0.5235987755982+(pi/2).

FAQ

What is Outer angle of Fourstar?
The Outer angle of Fourstar formula is defined as the angle between nearby edges of any two adjacent petals of the shape and is represented as β = α+(pi/2) or Outer Angle of Polygram (in Degrees) = Inner Angle of Polygram (in Degrees)+(pi/2). Inner Angle of Polygram (in Degrees) is the angle of the isosceles triangle attached to sides of the n-sided polygon.
How to calculate Outer angle of Fourstar?
The Outer angle of Fourstar formula is defined as the angle between nearby edges of any two adjacent petals of the shape is calculated using Outer Angle of Polygram (in Degrees) = Inner Angle of Polygram (in Degrees)+(pi/2). To calculate Outer angle of Fourstar, you need Inner Angle of Polygram (in Degrees) (α). With our tool, you need to enter the respective value for Inner Angle of Polygram (in Degrees) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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