Binary Degrees to Radians Converter

Enter Binary Degrees


Radians





⇅ Switch toRadians to Binary Degrees Converter

How to use this Binary Degrees to Radians Converter 🤔

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

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

What is the Formula to convert Binary Degrees to Radians?

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

Angle(Radians) = Angle(Binary Degrees) × π / 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 radians, i.e., Angle(Radians).

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a digital compass in a drone reads 90 binary degrees for navigation.
Convert this angle from binary degrees to Radians.

Answer:

Given:

The angle in binary degrees is:

Angle(Binary Degrees) = 90

Formula:

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

Angle(Radians) = Angle(Binary Degrees) × π / 128

Substitution:

Substitute given weight Angle(Binary Degrees) = 90 in the above formula.

Angle(Radians) = 90 × 3.14159265359 / 128

Angle(Radians) = 2.2089

Final Answer:

Therefore, 90 ° is equal to 2.2089 rad.

The angle is 2.2089 rad, in radians.

2

Consider that the rotation needed for a robotic arm is 180 binary degrees.
Convert this angle from binary degrees to Radians.

Answer:

Given:

The angle in binary degrees is:

Angle(Binary Degrees) = 180

Formula:

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

Angle(Radians) = Angle(Binary Degrees) × π / 128

Substitution:

Substitute given weight Angle(Binary Degrees) = 180 in the above formula.

Angle(Radians) = 180 × 3.14159265359 / 128

Angle(Radians) = 4.4179

Final Answer:

Therefore, 180 ° is equal to 4.4179 rad.

The angle is 4.4179 rad, in radians.

Binary Degrees to Radians Conversion Table

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

Binary Degrees (°)Radians (rad)
0 °0 rad
1 °0.02454369261 rad
10 °0.2454 rad
45 °1.1045 rad
90 °2.2089 rad
180 °4.4179 rad
360 °8.8357 rad
1000 °24.5437 rad

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.

Radians

Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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