1. What is a Right Angle?

A right angle is an angle of exactly 90 degrees (π/2 radians). It is a fundamental concept in geometry and is the angle between two perpendicular lines.

2. Angle Conversion

The calculator performs conversions between degrees and radians:

Where:

• \( \pi \) — Approximately 3.14159
• Right angle — 90° or π/2 radians

3. Right Angle Properties

Details: In a right-angled triangle, the side opposite the right angle is called the hypotenuse. The Pythagorean theorem applies: \( a^2 + b^2 = c^2 \) where c is the hypotenuse.

4. Using the Calculator

Tips: Enter an angle value, select conversion direction (degrees to radians or vice versa), and click Calculate. The calculator will show the converted value.

5. Frequently Asked Questions (FAQ)

Q1: Why is 90 degrees special?
A: 90° angles create perpendicular lines and are fundamental in geometry, architecture, and engineering.

Q2: How many radians is 90 degrees?
A: Exactly π/2 radians (approximately 1.5708 radians).

Q3: What's the difference between degrees and radians?
A: Degrees divide a circle into 360 parts, while radians use the radius as a measuring unit (2π radians in a full circle).

Q4: When should I use radians vs degrees?
A: Degrees are common in everyday applications, while radians are preferred in higher mathematics and physics.

Q5: Can I convert other angles besides 90 degrees?
A: Yes, this calculator works for any angle measurement.