Quadrants to Radians Converter

Enter Quadrants


Radians





⇅ Switch toRadians to Quadrants Converter

How to use this Quadrants to Radians Converter 🤔

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

  1. Enter the input Quadrants value in the text field.
  2. The calculator converts the given Quadrants 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 Quadrants to Radians?

The formula to convert given angle from Quadrants to Radians is:

Angle(Radians) = Angle(Quadrants) × π / 2

Substitute the given value of angle in quadrants, i.e., Angle(Quadrants) 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 map is divided into 4 quadrants for detailed navigation.
Convert this section from quadrants to Radians.

Answer:

Given:

The angle in quadrants is:

Angle(Quadrants) = 1

Formula:

The formula to convert angle from quadrants to radians is:

Angle(Radians) = Angle(Quadrants) × π / 2

Substitution:

Substitute given weight Angle(Quadrants) = 1 in the above formula.

Angle(Radians) = 1 × 3.14159265359 / 2

Angle(Radians) = 1.5708

Final Answer:

Therefore, 1 quadrant is equal to 1.5708 rad.

The angle is 1.5708 rad, in radians.

2

Consider that a pilot uses 2 quadrants to determine the aircraft's position.
Convert this section from quadrants to Radians.

Answer:

Given:

The angle in quadrants is:

Angle(Quadrants) = 2

Formula:

The formula to convert angle from quadrants to radians is:

Angle(Radians) = Angle(Quadrants) × π / 2

Substitution:

Substitute given weight Angle(Quadrants) = 2 in the above formula.

Angle(Radians) = 2 × 3.14159265359 / 2

Angle(Radians) = 3.1416

Final Answer:

Therefore, 2 quadrant is equal to 3.1416 rad.

The angle is 3.1416 rad, in radians.

Quadrants to Radians Conversion Table

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

Quadrants (quadrant)Radians (rad)
0 quadrant0 rad
1 quadrant1.5708 rad
10 quadrant15.708 rad
45 quadrant70.6858 rad
90 quadrant141.3717 rad
180 quadrant282.7433 rad
360 quadrant565.4867 rad
1000 quadrant1570.7963 rad

Quadrants

Quadrants are a unit of angular measurement representing one-quarter of a full circle, equivalent to 90 degrees or π/2 radians. Quadrants are commonly used in geometry, astronomy, and navigation to describe and analyze positions, angles, and directional orientations within a defined space.

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 Quadrants to Radians in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Quadrants to Radians?