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The formula calculates the breadth of a rectangle when the area and the angle between the diagonal and the length are known. This geometric relationship helps determine the shorter side dimension of a rectangle using trigonometric principles.
The calculator uses the formula:
Where:
Explanation: The formula derives from the trigonometric relationship between the rectangle's dimensions, area, and the angle formed by the diagonal with the length side.
Details: Calculating the breadth of a rectangle is essential in various geometric applications, construction projects, and design calculations where specific dimensional relationships must be maintained.
Tips: Enter the area in square meters and the angle in degrees (between 0 and 90). Both values must be positive numbers with area > 0 and angle between 0-90 degrees.
Q1: Why use this specific formula for breadth calculation?
A: This formula provides a direct method to calculate breadth when area and the angle between diagonal and length are known, using trigonometric relationships.
Q2: What are typical breadth values for rectangles?
A: Breadth values vary widely depending on the rectangle's proportions. In a square, breadth equals length, while in elongated rectangles, breadth is significantly smaller than length.
Q3: Can this formula be used for any rectangle?
A: Yes, the formula applies to all rectangles as long as the angle between the diagonal and length is known and the area is positive.
Q4: Are there limitations to this calculation method?
A: The angle must be between 0 and 90 degrees, and the area must be positive. The formula assumes standard geometric properties of rectangles.
Q5: How accurate is this calculation method?
A: The calculation is mathematically precise based on the input values. Accuracy depends on the precision of the input measurements.