How to use this Radians to Compass Points Converter 🤔
Follow these steps to convert given angle from the units of Radians to the units of Compass Points.
Enter the input Radians value in the text field.
The calculator converts the given Radians into Compass Points in realtime ⌚ using the conversion formula, and displays under the Compass Points label. You do not need to click any button. If the input changes, Compass Points value is re-calculated, just like that.
You may copy the resulting Compass Points 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 Reset button present below the input field.
What is the Formula to convert Radians to Compass Points?
The formula to convert given angle from Radians to Compass Points is:
Angle(Compass Points) = Angle(Radians) × 16 / π
Substitute the given value of angle in radians, i.e., Angle(Radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in compass points, i.e., Angle(Compass Points).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a robotic arm rotates by 1.5 radians to position an object accurately. Convert this angle from radians to Compass Points.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 1.5
Formula:
The formula to convert angle from radians to compass points is:
Angle(Compass Points) = Angle(Radians) × 16 / π
Substitution:
Substitute given weight Angle(Radians) = 1.5 in the above formula.
Angle(Compass Points) = 1.5 × 16 / 3.14159265359
Angle(Compass Points) = 7.6394
Final Answer:
Therefore, 1.5 rad is equal to 7.6394 compass point.
The angle is 7.6394 compass point, in compass points.
2
Consider that a satellite dish adjusts by 0.75 radians to align with a signal. Convert this angle from radians to Compass Points.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 0.75
Formula:
The formula to convert angle from radians to compass points is:
Angle(Compass Points) = Angle(Radians) × 16 / π
Substitution:
Substitute given weight Angle(Radians) = 0.75 in the above formula.
Angle(Compass Points) = 0.75 × 16 / 3.14159265359
Angle(Compass Points) = 3.8197
Final Answer:
Therefore, 0.75 rad is equal to 3.8197 compass point.
The angle is 3.8197 compass point, in compass points.
Radians to Compass Points Conversion Table
The following table gives some of the most used conversions from Radians to Compass Points.
Radians (rad)
Compass Points (compass point)
0 rad
0 compass point
1 rad
5.093compass point
10 rad
50.9296compass point
45 rad
229.1831compass point
90 rad
458.3662compass point
180 rad
916.7325compass point
360 rad
1833.4649compass point
1000 rad
5092.9582compass point
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.
Compass Points
Compass points are a unit of angular measurement used in navigation and cartography to represent directions on a compass. Traditionally, the compass is divided into 32 points, each representing 11.25 degrees. Compass points are essential in maritime navigation, aviation, and orienteering, providing a simple and standardized way to describe directions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Radians to Compass Points in Angle?
The formula to convert Radians to Compass Points in Angle is:
Radians * 16 / π
2. Is this tool free or paid?
This Angle conversion tool, which converts Radians to Compass Points, is completely free to use.
3. How do I convert Angle from Radians to Compass Points?
To convert Angle from Radians to Compass Points, you can use the following formula:
Radians * 16 / π
For example, if you have a value in Radians, you substitute that value in place of Radians in the above formula, and solve the mathematical expression to get the equivalent value in Compass Points.