Right Angles to Radians Converter

Enter Right Angles


Radians





⇅ Switch toRadians to Right Angles Converter

How to use this Right Angles to Radians Converter 🤔

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

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

The formula to convert given angle from Right Angles to Radians is:

Angle(Radians) = Angle(Right Angles) × π / 2

Substitute the given value of angle in right angles, i.e., Angle(Right Angles) 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 right angle is formed by the intersection of two streets.
Convert this angle from right angles to Radians.

Answer:

Given:

The angle in right angles is:

Angle(Right Angles) = 1

Formula:

The formula to convert angle from right angles to radians is:

Angle(Radians) = Angle(Right Angles) × π / 2

Substitution:

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

Angle(Radians) = 1 × 3.14159265359 / 2

Angle(Radians) = 1.5708

Final Answer:

Therefore, 1 right angle is equal to 1.5708 rad.

The angle is 1.5708 rad, in radians.

2

Consider that a square corner of a room is at 1 right angle.
Convert this angle from right angles to Radians.

Answer:

Given:

The angle in right angles is:

Angle(Right Angles) = 1

Formula:

The formula to convert angle from right angles to radians is:

Angle(Radians) = Angle(Right Angles) × π / 2

Substitution:

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

Angle(Radians) = 1 × 3.14159265359 / 2

Angle(Radians) = 1.5708

Final Answer:

Therefore, 1 right angle is equal to 1.5708 rad.

The angle is 1.5708 rad, in radians.

Right Angles to Radians Conversion Table

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

Right Angles (right angle)Radians (rad)
0 right angle0 rad
1 right angle1.5708 rad
10 right angle15.708 rad
45 right angle70.6858 rad
90 right angle141.3717 rad
180 right angle282.7433 rad
360 right angle565.4867 rad
1000 right angle1570.7963 rad

Right Angles

Right angles are a fundamental unit of angular measurement, representing 90 degrees or one-quarter of a full circle. Right angles are central to geometry, trigonometry, and many practical fields, including construction, engineering, and design, where perpendicularity and orthogonality are key principles.

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 Right Angles to Radians in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Right Angles to Radians?