# Binary Degrees to π Radians Converter

⇅ Switch toπ Radians to Binary Degrees Converter

## How to use this Binary Degrees to π Radians Converter 🤔

Follow these steps to convert given angle from the units of Binary Degrees to the units of π Radians.

- Enter the input
**Binary Degrees**value in the text field. - The calculator converts the given
**Binary Degrees**into**π Radians**in realtime ⌚ using the conversion formula, and displays under the**π Radians**label. You do not need to click any button. If the input changes,**π Radians**value is re-calculated, just like that. - You may copy the resulting
**π Radians**value using the Copy button. - To view a detailed step by step calculation of the conversion, click on the View Calculation button.
- You can also reset the input by clicking on button present below the input field.

## What is the Formula to convert Binary Degrees to π Radians?

The formula to convert given angle from Binary Degrees to π Radians is:

Angle_{(π Radians)} = Angle_{(Binary Degrees)} / 128

Substitute the given value of angle in binary degrees, i.e., Angle_{(Binary Degrees)} in the above formula and simplify the right-hand side value. The resulting value is the angle in π radians, i.e., Angle_{(π Radians)}.

## Calculation

## Examples

### Consider that a digital compass in a drone reads 90 binary degrees for navigation.

Convert this angle from binary degrees to π Radians.

#### Answer:

**Given:**

The angle in binary degrees is:

Angle_{(Binary Degrees)} = 90

**Formula:**

The formula to convert angle from binary degrees to π radians is:

Angle_{(π Radians)} = Angle_{(Binary Degrees)} / 128

**Substitution:**

Substitute given weight **Angle _{(Binary Degrees)} = 90** in the above formula.

Angle_{(π Radians)} = 90 / 128

Angle_{(π Radians)} = 0.7031

**Final Answer:**

Therefore, **90 °** is equal to **0.7031 π radians**.

The angle is **0.7031 π radians**, in π radians.

### Consider that the rotation needed for a robotic arm is 180 binary degrees.

Convert this angle from binary degrees to π Radians.

#### Answer:

**Given:**

The angle in binary degrees is:

Angle_{(Binary Degrees)} = 180

**Formula:**

The formula to convert angle from binary degrees to π radians is:

Angle_{(π Radians)} = Angle_{(Binary Degrees)} / 128

**Substitution:**

Substitute given weight **Angle _{(Binary Degrees)} = 180** in the above formula.

Angle_{(π Radians)} = 180 / 128

Angle_{(π Radians)} = 1.4063

**Final Answer:**

Therefore, **180 °** is equal to **1.4063 π radians**.

The angle is **1.4063 π radians**, in π radians.

## Binary Degrees to π Radians Conversion Table

The following table gives some of the most used conversions from Binary Degrees to π Radians.

Binary Degrees (°) | π Radians (π radians) |
---|---|

0 ° | 0 π radians |

1 ° | 0.0078125 π radians |

10 ° | 0.078125 π radians |

45 ° | 0.3516 π radians |

90 ° | 0.7031 π radians |

180 ° | 1.4063 π radians |

360 ° | 2.8125 π radians |

1000 ° | 7.8125 π radians |

## Binary Degrees

Binary degrees, or 'binary angles,' are a unit of angular measurement used in digital systems where angles are represented using binary numbers. This system is particularly useful in computer graphics, robotics, and digital signal processing, where binary calculations are more efficient than traditional degrees.

## π Radians

π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions.

## Frequently Asked Questions (FAQs)

### 1. What is the formula for converting Binary Degrees to π Radians in Angle?

The formula to convert Binary Degrees to π Radians in Angle is:

Binary Degrees / 128

### 2. Is this tool free or paid?

This Angle conversion tool, which converts Binary Degrees to π Radians, is completely free to use.

### 3. How do I convert Angle from Binary Degrees to π Radians?

To convert Angle from Binary Degrees to π Radians, you can use the following formula:

Binary Degrees / 128

For example, if you have a value in Binary Degrees, you substitute that value in place of Binary Degrees in the above formula, and solve the mathematical expression to get the equivalent value in π Radians.