In mathematics and computer science, angles and radians are two ways of measuring angles. Angles are expressed in degrees, while radians are expressed as the ratio of arc length to radius.
In JavaScript, angles are usually calculated using radians. But sometimes it is necessary to convert radians to degrees to make it easier to understand and calculate. This article explains how to convert radians to degrees using JavaScript.
1. What are radians and angles?
Before going to the process of converting radians to angles, we first need to understand what radians and angles are.
1.1 Radian
The ratio of arc length and radius on the circumference is called radian. One radian is defined as 1/2π of the circumference of a circle.
For example, the circumference of a circle is 2πr, where r is the radius of the circle. In this case, 1 radian corresponds to an arc length of r. So if we want to move a certain distance in arc length, we can calculate that in radians.
1.2 Angle
Angle is the size of an angle measured in degrees. The conversion formula between radians and angles is:
Angle = radians * 180 / π
radians = angle * π / 180
In JavaScript, we can use these formulas to convert Convert radians to degrees.
2. JavaScript code for converting radians to angles
We can use the following JavaScript code to convert radians to angles:
function radiansToDegrees(radians) {
var degrees = radians * (180 / Math.PI);
return degrees;
}
Where, radians are the radians to be converted to angles.
This function first multiplies radians by 180/π and then returns the result. The result returned by this function is the angle in degrees.
For example, if we want to convert 4π/3 radians to degrees, we can use the following code:
var radians = 4 * Math.PI / 3;
var degrees = radiansToDegrees (radians);
console.log(degrees);
Run this code, the console will output 240, which is the angle corresponding to 4π/3 radians.
3. Summary
Both radians and angles are units for measuring angles. In JavaScript, we can calculate angles using radians, but sometimes we need to convert radians to degrees.
We can use a simple formula to convert radians to angles and implement it using JavaScript code.
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