Outer Angle of Fourstar Calculator

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✖The Inner Angle of Fourstar is the unequal angle of the isosceles triangle that attached to the square or the angle between the edges which form the triangular spike, of the Fourstar.ⓘ Inner Angle of Fourstar [∠_Inner]

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✖The Outer Angle of Fourstar is the angle between adjacent isosceles triangle or the triangular spikes that attached to the square of the Fourstar.ⓘ Outer Angle of Fourstar [∠_Outer]

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Formula

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Outer Angle of Fourstar

Formula

`"∠"_{"Outer"} = "∠"_{"Inner"}+pi/2`

Example

`"165°"="75°"+pi/2`

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Outer Angle of Fourstar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2
∠_Outer = ∠_Inner+pi/2
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Outer Angle of Fourstar - (Measured in Radian) - The Outer Angle of Fourstar is the angle between adjacent isosceles triangle or the triangular spikes that attached to the square of the Fourstar.
Inner Angle of Fourstar - (Measured in Radian) - The Inner Angle of Fourstar is the unequal angle of the isosceles triangle that attached to the square or the angle between the edges which form the triangular spike, of the Fourstar.

STEP 1: Convert Input(s) to Base Unit

Inner Angle of Fourstar: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Outer = ∠_Inner+pi/2 --> 1.3089969389955+pi/2

Evaluating ... ...

∠_Outer = 2.8797932657904

STEP 3: Convert Result to Output's Unit

2.8797932657904 Radian -->165.000000000017 Degree (Check conversion here)

FINAL ANSWER

165.000000000017 ≈ 165 Degree <-- Outer Angle of Fourstar

(Calculation completed in 00.016 seconds)

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IIT Madras (IIT Madras), Chennai

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< 10+ Fourstar Calculators

Diameter of Fourstar given Edge Length and Inner Angle

Go Diameter of Fourstar = Edge Length of Fourstar*sqrt(2)*(sqrt(1+cos(Inner Angle of Fourstar))+sqrt(1-cos(Inner Angle of Fourstar)))

Spike Height of Fourstar given Inner Angle

Go Spike Height of Fourstar = Edge Length of Fourstar/2*sqrt(2*(1+cos(Inner Angle of Fourstar)))

Chord Length of Fourstar

Go Chord Length of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Outer Angle of Fourstar)))

Spike Base of Fourstar

Go Spike Base of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Inner Angle of Fourstar)))

Area of Fourstar

Go Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2

Spike Height of Fourstar

Go Spike Height of Fourstar = sqrt((4*Edge Length of Fourstar^2-Spike Base of Fourstar^2)/4)

Spike Base of Fourstar given Diameter

Go Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar

Diameter of Fourstar

Go Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar

Outer Angle of Fourstar

Go Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2

Perimeter of Fourstar

Go Perimeter of Fourstar = 8*Edge Length of Fourstar

Outer Angle of Fourstar Formula

Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2
∠_Outer = ∠_Inner+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 Fourstar = Inner Angle of Fourstar+pi/2 to calculate the 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 Fourstar. Outer Angle of Fourstar is denoted by ∠_Outer 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 Fourstar (∠_Inner) and hit the calculate button. Here is how the Outer Angle of Fourstar calculation can be explained with given input values -> 9453.804 = 1.3089969389955+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 Fourstar and is represented as ∠_Outer = ∠_Inner+pi/2 or Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2. The Inner Angle of Fourstar is the unequal angle of the isosceles triangle that attached to the square or the angle between the edges which form the triangular spike, of the Fourstar.

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 Fourstar is calculated using Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2. To calculate Outer Angle of Fourstar, you need Inner Angle of Fourstar (∠_Inner). With our tool, you need to enter the respective value for Inner Angle of Fourstar 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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