Area of a circle: pi times radius squared
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Circle
A slice, a segment or a sector.----------------A segment is the area of a circle between the chord and the arc. A "sector" is what you are looking for. See the links below.
To find the area of the circle pi*radius*squared and subtract the area of the figure inside
The circumference of a circle is the distance arround the edge of the circle. The area of a circle is how big the inside of the circle is.
In order to find the diameter of a circle if you have the area is to rearrange the formula for the area of a circle to put diameter as the unknown, like so: PIE*d = Area of a Circle d = (Area of a Circle) / PIE Therefore if the area of your circle is 40cm, 40/PIE = 12.73cm and that's the diameter.