Stretched Corner Angle Of Right Angle In Half Square Kite Calculator

Formula Used:

\[ \angle Stretched\ Corner = \arccos\left(\frac{(2 \times S_{Non\ Square}^2) - d_{Square}^2}{2 \times S_{Non\ Square}^2}\right) \]

Stretched Corner Angle of Half Square Kite:

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1. What is the Stretched Corner Angle of Half Square Kite?

The Stretched Corner Angle of Half Square Kite is the angle opposite to the right angle corner of the Half Square Kite, formed by stretching one corner of the square. It represents the angle at the stretched corner of this geometric shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \angle Stretched\ Corner = \arccos\left(\frac{(2 \times S_{Non\ Square}^2) - d_{Square}^2}{2 \times S_{Non\ Square}^2}\right) \]

Where:

\( S_{Non\ Square} \) — Non Square Side of Half Square Kite (m)
\( d_{Square} \) — Square Diagonal of Half Square Kite (m)

Explanation: The formula calculates the angle using the arccosine function based on the relationship between the non-square side length and the square diagonal of the Half Square Kite.

3. Importance of Stretched Corner Angle Calculation

Details: Calculating the stretched corner angle is important for geometric analysis, kite design, and understanding the properties of Half Square Kite shapes in various applications.

4. Using the Calculator

Tips: Enter the Non Square Side and Square Diagonal values in meters. Both values must be positive numbers greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Half Square Kite?
A: A Half Square Kite is a geometric shape formed by stretching one corner of a square while keeping the other three corners fixed.

Q2: What are the typical values for the stretched corner angle?
A: The angle typically ranges between 0° and 180°, depending on the dimensions of the non-square side and square diagonal.

Q3: Can this calculator handle very large or very small values?
A: The calculator can handle a wide range of values, but extremely large or small values may affect computational precision.

Q4: What if I get an "Invalid input" message?
A: This occurs when the mathematical ratio falls outside the valid range [-1, 1] for the arccos function, indicating impossible geometric constraints.

Q5: Is the result always in degrees?
A: Yes, the calculator displays the angle in degrees for easier interpretation, though the underlying calculation uses radians.