Home
Back
Formula Used:
| From: | To: |
The angle between diagonal and breadth of a rectangle is the acute angle formed between the diagonal and the breadth (width) side of the rectangle. In any rectangle, the angles between the diagonal and the two adjacent sides are complementary.
The calculator uses the geometric relationship:
Where:
Explanation: In a rectangle, the diagonal forms complementary angles with the adjacent sides. The sum of the angle with length and the angle with breadth equals 90° (π/2 radians).
Details: This relationship holds true for all rectangles regardless of their dimensions. The diagonal divides the rectangle into two congruent right triangles, and the angles formed with the sides are complementary due to the right angle at the vertex.
Tips: Enter the angle between diagonal and length in radians. The value must be between 0 and π/2 radians. The result will be the complementary angle between the diagonal and the breadth.
Q1: Why are these angles complementary?
A: Because the diagonal forms two right triangles with the sides of the rectangle, and the acute angles in a right triangle are complementary.
Q2: Can I use degrees instead of radians?
A: The calculator currently uses radians. To convert degrees to radians, multiply by π/180.
Q3: What is the range of valid input values?
A: The angle between diagonal and length must be between 0 and π/2 radians (0° to 90°).
Q4: Does this work for squares as well?
A: Yes, the relationship holds for all rectangles, including squares (which are a special case of rectangles).
Q5: What if I know the angle with breadth and want to find the angle with length?
A: The same formula applies: \( \angle dl = \frac{\pi}{2} - \angle db \)