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Area Of Rectangle Given Breadth And Angle Between Diagonal And Breadth Formula:
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The Area Of Rectangle Given Breadth And Angle Between Diagonal And Breadth formula calculates the area of a rectangle when the breadth and the angle between the diagonal and breadth are known. This formula uses trigonometric relationships to determine the area.
The calculator uses the formula:
Where:
Explanation: The formula uses the tangent trigonometric function to relate the breadth and the angle between the diagonal and breadth to calculate the area of the rectangle.
Details: Calculating the area of a rectangle is fundamental in geometry and has practical applications in various fields such as construction, architecture, and engineering where rectangular shapes are common.
Tips: Enter the breadth of the rectangle in meters and the angle between the diagonal and breadth in degrees. The angle must be between 0 and 90 degrees. All values must be valid (breadth > 0, angle > 0 and ≤ 90).
Q1: Why use this formula instead of length × breadth?
A: This formula is useful when the length is not directly known, but the breadth and the angle between the diagonal and breadth are available.
Q2: What is the range of valid angles for this formula?
A: The angle must be between 0 and 90 degrees (exclusive). At 0 degrees, the area would be 0, and at 90 degrees, the tangent function is undefined.
Q3: Can this formula be used for squares?
A: Yes, since a square is a special case of a rectangle, this formula can be used for squares as well.
Q4: How accurate is this calculation?
A: The accuracy depends on the precision of the input values. The calculator provides results rounded to four decimal places for clarity.
Q5: What units should be used for inputs?
A: Breadth should be in meters, and the angle should be in degrees. The resulting area will be in square meters.