1. What is the Obtuse Angle between Diagonals of Rectangle?

The Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees. In a rectangle, the diagonals are equal in length and bisect each other, creating two pairs of angles - one acute and one obtuse.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of Rectangle (m)
• \( r_c \) — Circumradius of Rectangle (m)

Explanation: This formula calculates the obtuse angle between the diagonals of a rectangle using the relationship between the breadth of the rectangle and its circumradius.

3. Importance of Obtuse Angle Calculation

Details: Calculating the obtuse angle between diagonals is important in geometry, architecture, and engineering applications where precise angle measurements are required for rectangular structures and designs.

4. Using the Calculator

Tips: Enter the breadth and circumradius of the rectangle in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of the obtuse angle in a rectangle?
A: The obtuse angle between diagonals of a rectangle always ranges between 90° and 180°.

Q2: How is the circumradius related to the rectangle dimensions?
A: The circumradius of a rectangle is half the length of its diagonal, which can be calculated using the Pythagorean theorem from the length and breadth.

Q3: Can this formula be used for squares?
A: Yes, for squares (where length equals breadth), the formula will give 90° for both acute and obtuse angles since the diagonals are perpendicular.

Q4: What is the relationship between acute and obtuse angles?
A: In a rectangle, the acute and obtuse angles between diagonals are supplementary, meaning they add up to 180°.

Q5: Are there other ways to calculate this angle?
A: Yes, the angle can also be calculated using the length and breadth of the rectangle through trigonometric relationships.