DegreesToRadians | Topcoder Archive

Problem Statement

In some forms of geometry, like the kind used in geographical longitude/latitude measurements, angles are measured in base-60. The base unit is the degree. One degree contains 60 minutes, and one minute contains 60 seconds.

You will be given the measurement of an angle in degrees, minutes, and seconds. Return the given angle in radians. Note that n degrees is equal to n*PI/180 radians.

Definition

Class:: DegreesToRadians
Method:: convertToRadians
Parameters:: int, int, int
Returns:: double
Method signature:: double convertToRadians(int degrees, int minutes, int seconds)
(be sure your method is public)

Notes

The return value must have an absolute or relative error less than 1e-9.

Constraints

degrees will be between 0 and 359, inclusive.
minutes will be between 0 and 59, inclusive.
seconds will be between 0 and 59, inclusive.

Examples

```
0
```
```
0
```
```
0
```
```
Returns: 0.0
```
Zero is zero, in either measurement system.
```
180
```
```
0
```
```
0
```
```
Returns: 3.141592653589793
```
180 degrees is PI radians.
```
359
```
```
59
```
```
59
```
```
Returns: 6.283180459042776
```
This is as close to a full circle as it gets.
```
23
```
```
30
```
```
5
```
```
Returns: 0.41017661490272295
```

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