15 degrees in radians (15 deg to rad)

Here is how to calculate and covert 15 degrees (deg) to radians (rad). We will show you the degrees to radians formula, the math to convert 15 degrees to radians, and we will illustrate 15 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 15 degrees into our formula, we get 15 degrees in radians as follows:

(degrees × π) ÷ 180 = radians (15 × π) ÷ 180 = π/12 15 degrees = π/12 radians

Since the answer above includes a Pi (π), which is an irrational number, 15 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 15 degrees to radians, like this:

π ÷ 12 ≈ 0.261799387799149 15 degrees ≈ 0.2618 radians

To illustrate 15 degrees in radians on a circle, we first drew a circle with our compass and then outlined 15 degrees with our protractor. The counterclockwise area between the blue and the orange line is 15 degrees.

The counterclockwise distance from a to b along the red perimeter is π/12 or approximately 0.2618 if the radius is 1. If the radius is not 1, simply multiply π/12 (or 0.2618) by the radius to get the distance between a and b.

Degrees to Radians Calculator Submit another number of degrees for us to convert to radians for you.

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