If on a circle to measure a piece (arch) which length is equal to the radius of this circle then the segment which corner is considered to be equal to one radian will turn out. Measurement of flat corners in these units can be used in mathematics and physics, and in applied sciences: geography, astronomies, etc., apply angular degrees, minutes and seconds to the same purposes more often.
Instruction
1. Use Pi's number for definition of a proportion between angular minutes and radians. This constant defines the constant relation of length of a circle to its radius. As the radian is expressed through the radius and a part of length of a circle too, it is possible to establish between them compliance. Two lengths of radius increased by Pi's number are length of a circle, and length of the arch forming a corner in one radian is equal to one radius. Having divided the first into the second, we will receive size Pi equal to two numbers - so many radian hold in a whole revolution (360 °). Means, one radian corresponds 180 °, Pi divided into number is about 57.295779513 ° or 57 degrees of 17 angular minutes and 44.806 angular seconds that corresponds to 3437.75 angular minutes.
2. You divide the known size of a corner in angular minutes into number 3437.75 to learn its size in radians. For example, if the size of a corner is 57 minutes, then the same corner measured in radians will be equal to 57/3437.75=0.0165806123.
3. Use any calculator for practical calculations. It can be the separate gadget, the program calculator from structure of the operating system, the calculator who is built in the search engine or the script calculator posted on any website. For example, for calculations with use of the calculator which is built in Google search engine it is enough to pass http://google.com to its homepage and to enter the necessary mathematical operation in the field of a search query. The same calculator is built in also http://nigma.ru search engine. If you decide to use the calculator which is built in the Windows operating system, then it is possible to find the reference to its start in the main menu on the Start-up button. Having revealed him it is necessary to pass into the section "All Programs", then into the subsection "Standard", then into the section "Office", and there to select the Calculator item.