A circle has 360 degrees
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The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)
Every circle by definition has 360 degrees. If it did not have 360 degrees, it would not be a circle. Therefore, 16 degrees of a circle is 16o over 360o.
5 out of 18 parts is 5/18. Multiply that by 360, since that's the number of degrees in a full circle.
360 degrees = Total number, T. So a sector of x degrees is equivalent to x*T/360 units.
One tenth of a full circle is 36 degrees.