How to calculate sector

The term "sector" can have several meanings. In geometry and several other Sciences it is part of a circle bounded by two radii and enclosed between them an angle and an arc of that angle. In everyday life it may be real object that has the appropriate form. Its area is computed exactly the same as the area of the geometrical sector. Such calculations may be required, for example, in the manufacture of furniture, curved Windows and some stained glass Windows

You will need

• - a circle of the specified radius;
• - the angle of the sector.
• - drawing utensils.

Instruction

1. Draw a circle of a given diameter. If you need to calculate the area of the real object with the appropriate form, make the necessary measurements. Exactly the same as for the solution of the school problem in geometry, you need the radius and angle. The protractor is at hand it may be not always, so you can measure in any way the length of the arc, and from it calculate the angle. For computational convenience it is also possible to make a drawing.
2. Separate from the circle, the sector, having a 2 radius. To tackle school tasks do not necessarily accurately measure the angle, draw a conditional sector with conventional same size. You can use the data obtained to make an accurate drawing.
3. Most likely, in terms of the problem size of an angle given in degrees. You will need to convert it to radians. It is equal to the angle in degrees, multiplied by π and divided by 180°. You can find it by the formula Ar = AG* p/180°, where AG is the size of an angle in degrees, Ar — he, in radians.
4. Calculate the area of the sector. It is the size of the angle in radians multiplied by the radius squared and divided by 2. That is, S = (Ar*r2)/2.
5. To build patterns and other practical purposes, you might need to calculate the arc length of the sector. To do this, too, is possible through the size of the angle, expressed in radians. The arc length of the sector equals the angle multiplied by the radius. To Express this value with the formula L=Ar*r.