Radians and degrees are two units used to measure angles. As you already know, the circle consists of 2π radians, which is equivalent to 360 °; these values symbolize "one time around the" circle. Thus, the circumference of a circle symbolizing 1π radians as far as 180 °, so that the value of 180 / π be a perfect conversion tool to convert radians to degrees. To change radians to degrees, you only need to multiply the value of radians by 180 / π. If you want to know how to do and understand the concepts in the process, take a look at Step 1 to start.
Step
1. Know that π radians equals 180 degrees. Before you begin the conversion process, you should know that π radians = 180 °, which is equivalent to half the circumference of a circle. This is important because you will be using 180 / π as a metric conversion. This is because 1π radian is equal to 180 / π degrees.
- 2 Multiply radians by 180 / π to turn it into derajat.Sesederhana it. Suppose, you work with π / 12 radians. Then, you have to multiply it by 180 / π and simplify them if necessary. Here's how you do it:
- π / 12 x 180 / π =
- 180π / ÷ 12π 12π / 12π =
- 15 °
- π / 12 radians = 15 °
When multiplying, let pi radians you in shape and not approach the decimal symbol, making it easier to eliminate in your calculations.
Many graphing calculator has a function to convert the unit or can be downloaded a program to convert units. Ask your math teacher if such functionality contained in your calculator.
- 3 Practice with a few examples. If you really want to understand the process, try changing from radians to degrees with a few additional examples. Here are some other examples you can do:
Example 1: 1 / 3π radians = π / 3 x 180 / π = 180π / 3π ÷ 3π / 3π = 60 °
Example 2: 7 / 4π radians = 7π / 4 x 180 / π = 1260π / 4π ÷ 4π / 4π = 315 °
Example 3: 1 / 2π radians = π / 2 x 180 / π = 180π / 2π ÷ 2π / 2π = 90 ° - 4 Remember that there is a difference between "radian" and "π radians". If you say 2π radians or 2 radians, then you do not use the same term. As you know, 2π radians is equal to 360 degrees. But, if you are working with 2 radians, then if you want to turn it into a degree, you have to calculate 2 x 180 / π. You'll get 360 / π or 114.5. This is a different answer because, if you do not work with π radians, then π do not cancel each other out in the equation and the result is a different value.
