Reflex Angle Calculator

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What is a Reflex Angle?

A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees. Think of it as the "bigger cousin" to other angles—it completes more than a straight line but stops short of a full circle.

Reflex angles play a significant role in engineering, architecture, and mathematics. They're crucial for understanding how different shapes and forms relate to one another. For instance, in gear system design, knowing reflex angles can prevent potential mechanical failures.

How to Calculate Reflex Angle

Formula

[\text{Reflex Angle} = \text{Primary Angle} + 180°]

Where:

  • Reflex Angle is the angle you're trying to find (between 180° and 360°)
  • Primary Angle is the known angle that is less than 180 degrees

Calculation Example

Primary angle: 50°

  1. Identify the primary angle: 50°
  2. Apply the formula:

[\text{Reflex Angle} = 50° + 180° = 230°]

The reflex angle is 230°.

Angle Type Value
Primary Angle 50°
Reflex Angle 230°

Angle Types Reference

  • Acute angle: 0° to 90°
  • Right angle: Exactly 90°
  • Obtuse angle: 90° to 180°
  • Straight angle: Exactly 180°
  • Reflex angle: 180° to 360°
  • Full rotation: 360°

Frequently Asked Questions

A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees. It is the larger angle formed when two lines meet.

An obtuse angle measures more than 90 degrees but less than 180 degrees, whereas a reflex angle spans between 180 and 360 degrees.

No, angles are always positive. Reflex angles range between 180 and 360 degrees.

Reflex angles are crucial in engineering, architecture, and mathematics for understanding relationships between geometric shapes and forms, and for designing systems like gears.