The area under the arc is the angular sweep of the arc (angle covered by the arc) divided by 360, multiply by pie times the square of the radius of the arc. If the value of pi is not given, 3.142 can be used as the value.
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if you have the diameter or the arc, then you can divide the diameter by two, or you can use the arc to calculate it.
area of an arc =lenght of arc *radius/2
To calculate the arc length of a sector: calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees) so : (pi * diameter) * (sector angle / 360) = arc length
length x width = area
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.