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The Outer Angle of Fourstar is the angle between adjacent isosceles triangles or the triangular spikes that are attached to the square of the Fourstar shape. It represents the external angle formed at the points of the star shape.
The calculator uses the formula:
Where:
Explanation: This formula calculates the outer angle by adding π/2 radians (90 degrees) to the given inner angle of the Fourstar shape.
Details: Calculating the outer angle is essential for geometric analysis and design of Fourstar shapes. It helps in understanding the complete angular properties and symmetry of the shape, which is important in various mathematical and engineering applications.
Tips: Enter the inner angle of the Fourstar in radians. The value must be a non-negative number. The calculator will compute the corresponding outer angle by adding π/2 to the input value.
Q1: What is a Fourstar shape?
A: A Fourstar is a geometric shape consisting of a central square with four isosceles triangular spikes attached to each side, forming a star-like pattern.
Q2: Why is π/2 added to the inner angle?
A: The addition of π/2 radians (90 degrees) accounts for the geometric relationship between the inner and outer angles in the Fourstar configuration, maintaining the shape's symmetry.
Q3: Can I use degrees instead of radians?
A: The calculator requires input in radians. To convert degrees to radians, multiply the degree value by π/180.
Q4: What are typical values for the inner angle?
A: The inner angle typically ranges between 0 and π radians, though specific values depend on the particular Fourstar configuration.
Q5: Are there any limitations to this formula?
A: This formula applies specifically to the standard Fourstar geometric configuration. Different star shapes may require different formulas for calculating outer angles.