Donate or volunteer today! Let’s say you have the following columns containing angles in radians, and you want to convert them all to degrees: The first method uses the formula that one commonly uses to convert radians to degrees. These include: For each of these methods, we will also show you how to convert degree values back to radians as well. This will display the value in A2 converted to its equivalent in degrees. On the contrary, if you have radians in Column A, you want to convert the values in Column A to degrees in Column B, you should type this formula =DEGREES(A2) in B2. As such, it is often useful to convert angle measures from radians to degrees. Or you can say there are 180 over pi degrees per radian. We are going to use VBScript to convert values from radians to degrees. For each of these methods, we will also show you how to convert degree values back to radians as well. Note: If you want to convert angle values back to radians, you need to use the formula: So if a cell B2 contains the value in degrees that you want to convert to radians, you need to use the following Excel formula: Excel provides some trigonometric functions that you can directly use. What is the formula to convert from radians to degrees? This is very close to 50 degrees, so it would make sense to round it up to 50 rather than have so many decimals (unless you are really particular about accuracy). Next, select the first cell containing the value you want to convert (A2). So you now have a whole column of values in degrees. But if you only want to keep the values in degrees, then you need to select these cells, copy them and paste them in the same place as values. Among others. If you want to keep only the values in degrees, then you need to select these cells, copy them and paste them in the same place as values. The problem is that these functions give results in radians, rather than degrees. --Switch to a new color-- so negative pi over three, so how do we convert that? And you are left with 180 divided by 3, leaving us with what is that? We wanted to convert pi radians, well we just figured out! So your formula should now be: If you don’t want to round up the value, you can skip this part. \frac{D}{90}=\frac{\ \ R\ \,}{\frac{\pi}{2}}. Example. 1.46; 11π/6; π/12; 3.491; 7.854-8.14; π/180; Solution. Degrees. Note that this method permanently changes the values in your worksheet. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Or what are pi radians equal to? So your formula should now be: =ROUND(DEGREES(A2),0). So you see, you don’t need scientific calculators or third party apps for this simple process because Excel provides enough ways for you to get your conversions done easily. So we get pi radians are equal to 180 degrees. Using a function specifically built to convert radians to degrees Using a formula that uses the PI () function. def degree(x): x=math.degrees(x) return x. Sometimes it doesn't look like a unit but it is a unit. WE could write out the word degrees or just put that symbol there. 57.3 degrees is so weird.” Once you are sure how to play with these two popular terms then mathematical calculations would be much simpler than your expectations. If you want to replace the radian values with their corresponding degree values, you can use the following VBA code: This code takes a selection of cells and one by one converts them to degrees, replacing the original value with the converted value. There’s one to convert radian values to degrees and one to convert degree values to radians. So, if you convert an angle of 0.872664 radians, you will get a value of 49.9999641330045 in degrees. You can also choose to drag down the fill handle to achieve the same effect. One radian is equal 57.295779513 degrees: 1 rad = 180°/π = 57.295779513° The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant: α (degrees) = α (radians) × 180° / π. or Convert from Radians to Degrees (17pi)/5 To convert radians to degrees , multiply by , since a full circle is or radians . The angle in radians that you want to convert. Excel uses several built-in trig functions. We need to multiply this by degrees -- I'm going to write the word out instead of the circle here -- It would be really hard to visualize that, degrees per radian So how many degrees are there per radian? well we know that for 180 degrees we have pi radians. For example, to convert 45° to radians, the Excel formula would be 45*PI ()/180 which equals 0.7854 radians. You can also use the DEGREES function in VBA. Radians and degrees are two types of units for measuring angles. Close the VBA window. For example, DEGREES (PI ()) equals 180. If you need to make conversions like this all the time, you can create a quick access button to quickly run the conversion macro whenever you need it. Now don’t be like me, memorizing this thinking “Great, another unit. If you don’t want to round up the value, you can skip this step. Use the DEGREES Function to convert radians to degrees. That makes sense from mathematical and scientific points of view, but degrees are a more commonplace representation of angles. Note: To convert from degrees to radians, you can use this same code, by just changing the function name ‘degrees’ in line 3 to ‘radians’. Conversion From Radians To Degrees. Let us see some examples: Example 3: Convert 15 degrees to radians. This will copy the formula to the rest of the cells in column B. Convert Angles from Degrees to Radians So now lets think about the second part. Figure 2: Degrees and radians. =RADIANS (A2) After typing in the formula, hit enter. For example, the Excel expression used to convert 270° to radians would be RADIANS (270) which equals 4.712389 radians You can use the DEGREES (angle) function to convert radians into degrees. Seconds (angular) A second of arc (also known as arcsec) is 1⁄60 of an arcminute, or 1⁄1,296,000 of a circle. For this, use the following code: To apply this script, to your dataset, follow these steps: Your code should now run and you should see the results on your worksheet. So what do we get based on this information right over here. If you need to, you can adjust the column widths to see all the data. Degree x π/180 = Radian. Do the math. You now get a whole column of values in degrees. How to Convert Radians to Degrees?