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Excel Calculate in Degrees

Reviewed by Calculator Editorial Team

Calculating angles in degrees is essential for geometry, physics, and engineering. Excel provides powerful functions to work with degrees, including trigonometric calculations, unit conversions, and angle measurements. This guide explains how to use Excel's degree-related functions and provides a calculator for quick reference.

How to Calculate Degrees in Excel

Excel offers several functions to work with degrees, including trigonometric calculations, unit conversions, and angle measurements. Understanding these functions will help you perform accurate calculations in your spreadsheets.

All trigonometric functions in Excel use radians by default. To work with degrees, you'll need to convert between radians and degrees using the RADIANS and DEGREES functions.

Basic Degree Calculations

To calculate angles in degrees, you can use the following Excel functions:

  • DEGREES(number) - Converts radians to degrees
  • RADIANS(number) - Converts degrees to radians
  • SIN(number) - Returns the sine of an angle in radians
  • COS(number) - Returns the cosine of an angle in radians
  • TAN(number) - Returns the tangent of an angle in radians
  • ASIN(number) - Returns the arcsine of a number in radians
  • ACOS(number) - Returns the arccosine of a number in radians
  • ATAN(number) - Returns the arctangent of a number in radians

Step-by-Step Example

  1. Enter your angle in degrees in cell A1
  2. Convert the angle to radians using =RADIANS(A1) in cell B1
  3. Calculate the sine of the angle using =SIN(B1) in cell C1
  4. Convert the result back to degrees using =DEGREES(C1) in cell D1

Common Excel Formulas for Degrees

Here are some common formulas for working with degrees in Excel:

=DEGREES(RADIANS(45))
Returns: 45
=SIN(RADIANS(30))
Returns: 0.5
=COS(RADIANS(60))
Returns: 0.5
=TAN(RADIANS(45))
Returns: 1
=DEGREES(ASIN(0.5))
Returns: 30
=DEGREES(ACOS(0.5))
Returns: 60
=DEGREES(ATAN(1))
Returns: 45

Converting Between Units

Excel makes it easy to convert between different angle units. Here's how to convert between degrees, radians, and gradians:

Degrees to Radians

=RADIANS(90)
Returns: 1.5707963267949

Radians to Degrees

=DEGREES(1.5707963267949)
Returns: 90

Degrees to Gradians

=90/0.9
Returns: 100

Gradians to Degrees

=100*0.9
Returns: 90

Practical Examples

Here are some practical examples of how to use degree calculations in Excel:

Calculating the Angle of a Right Triangle

To calculate the angle of a right triangle with sides of 3 and 4 units:

=DEGREES(ATAN(3/4))
Returns: 36.869897645844

Calculating the Angle of Elevation

To calculate the angle of elevation when looking at a point 100 meters away that is 30 meters higher:

=DEGREES(ATAN(30/100))
Returns: 16.703448598906

Calculating the Angle Between Two Vectors

To calculate the angle between two vectors with components (1, 2) and (3, 4):

=DEGREES(ACOS(((1*3)+(2*4))/((SQRT(1^2+2^2))*(SQRT(3^2+4^2)))))
Returns: 11.30993247402

Frequently Asked Questions

How do I convert radians to degrees in Excel?
Use the DEGREES function. For example, =DEGREES(1.5708) converts 1.5708 radians to 90 degrees.
How do I calculate the sine of an angle in degrees?
First convert the angle to radians using RADIANS, then use the SIN function. For example, =SIN(RADIANS(30)) calculates the sine of 30 degrees.
What is the difference between DEGREES and RADIANS functions?
The DEGREES function converts radians to degrees, while the RADIANS function converts degrees to radians. These functions are essential for working with trigonometric functions in Excel.
How do I calculate the angle between two vectors in Excel?
Use the formula =DEGREES(ACOS(((A1*C1)+(B1*D1))/((SQRT(A1^2+B1^2))*(SQRT(C1^2+D1^2))))) where A1:B1 are the components of the first vector and C1:D1 are the components of the second vector.
How do I convert degrees to gradians in Excel?
Multiply the degrees by 0.9. For example, =90*0.9 converts 90 degrees to 81 gradians.