Formula Used:
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The Obtuse Angle between Diagonals of Rectangle is the angle greater than 90 degrees formed by the intersection of the two diagonals in a rectangle. This angle is complementary to the acute angle between the diagonals.
The calculator uses the formula:
Where:
Explanation: The formula calculates the obtuse angle between diagonals using the area and breadth of the rectangle through trigonometric functions.
Details: Calculating the angle between diagonals is important in geometry, engineering, and design applications where precise angular measurements are required for rectangular shapes.
Tips: Enter the area of the rectangle in square meters and the breadth in meters. Both values must be positive numbers greater than zero.
Q1: What is the range of obtuse angle between diagonals?
A: The obtuse angle between diagonals of a rectangle always ranges between 90° and 180°.
Q2: How is this angle related to the acute angle?
A: The obtuse and acute angles between diagonals are supplementary, meaning they add up to 180°.
Q3: Can this formula be used for squares?
A: Yes, for squares (where length equals breadth), the formula will give the correct angle between diagonals.
Q4: What units should be used for inputs?
A: Consistent units should be used (e.g., meters for breadth, square meters for area). The result will be in degrees.
Q5: Are there any limitations to this formula?
A: This formula assumes a perfect rectangle and may not be accurate for irregular quadrilaterals or when inputs are invalid.