Here is how to calculate and covert 175 degrees (deg) to radians (rad). We will show you the degrees to radians formula, the math to convert 175 degrees to radians, and we will illustrate 175 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 175 degrees into our formula, we get 175 degrees in radians as follows:
(degrees × π) ÷ 180 = radians (175 × π) ÷ 180 = 35π/36 175 degrees = 35π/36 radians
Since the answer above includes a Pi (π), which is an irrational number, 175 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 175 degrees to radians, like this:
35π ÷ 36 ≈ 3.05432619099008 175 degrees ≈ 3.0543 radians
To illustrate 175 degrees in radians on a circle, we first drew a circle with our compass and then outlined 175 degrees with our protractor. The counterclockwise area between the blue and the orange line is 175 degrees.
The counterclockwise distance from a to b along the red perimeter is 35π/36 or approximately 3.0543 if the radius is 1. If the radius is not 1, simply multiply 35π/36 (or 3.0543) by the radius to get the distance between a and b.
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