Divide a Circle - Angle Calculator
Calculate the angle of divisions of a circle. A circle is divided into a number of sectors. The shape of these sectors is reminiscent of pie slices. Depending on the number of sectors, these sectors have a certain angle; the more sectors there are, the smaller this angle is. Depending on the number, these sectors have a certain angle. This can be calculated here.
Example: this is a circle divided into three parts by three half-lines, the three sectors have angles of 120° each, in radians the value is 2.094 or 2/3 π.
Please enter the number of parts, the angle in degrees, radian and multiples of pi will be calculated. This calculator can also process non-integer values, such as 1.5. Although a division into such values cannot be represented graphically, it can be calculated without any problem. Values smaller than 1 are also possible; for 0.5, the sector corresponds to two circles. Negative values can be interpreted as the direction of the circular path being reversed.
Formulas:
Angle in degrees = 360° / number of parts
Angle in radian = 2π / number of parts
Angle in multiples of pi = 2 / number of parts
The other two angles between the straight line and the curved line are always 90 degrees or π/4, regardless of the number of sectors and their size.
A circle is divided into sectors using straight lines if the number of parts is an even number. If the number of parts is odd, it is divided into half-lines that start from the center of the circle. Such a division is used, for example, in a pie chart to illustrate the relationships between sizes that together make up a whole. If you divide a circle into two parts, you get two semicircles; if you divide it into four parts, you get four quarter circles. If you divide it into 360 parts, each sector has an angle of exactly one degree. Simple wheels with spokes have roughly this shape, although spokes of course have a thickness, unlike geometric lines.
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