Here is how to calculate and covert 310 degrees (deg) to radians (rad). We will show you the degrees to radians formula, the math to convert 310 degrees to radians, and we will illustrate 310 degrees in radians on a circle.

To convert degrees to radians, we multiply degrees by π and then divide the product by 180. Here is the formula to convert degrees to radians:

(degrees × π) ÷ 180 = radians

When we enter 310 degrees into our formula, we get 310 degrees in radians as follows:

(degrees × π) ÷ 180 = radians (310 × π) ÷ 180 = 31π/18 310 degrees = 31π/18 radians

Since the answer above includes a Pi (π), which is an irrational number, 310 degrees in radians in terms of Pi is the only way to give the exact answer. However, we can divide the numerator by the denominator in the answer above and get an approximate decimal answer to 310 degrees to radians, like this:

31π ÷ 18 ≈ 5.41052068118242 310 degrees ≈ 5.4105 radians

To illustrate 310 degrees in radians on a circle, we first drew a circle with our compass and then outlined 310 degrees with our protractor. The counterclockwise area between the blue and the orange line is 310 degrees.

The counterclockwise distance from a to b along the red perimeter is 31π/18 or approximately 5.4105 if the radius is 1. If the radius is not 1, simply multiply 31π/18 (or 5.4105) by the radius to get the distance between a and b.

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