pi times the radius squared times the measure of the arc divided by 360
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if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area
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The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)
Area of whole circle = pi*r2 = 64*pi Area of Sector = Area of Whole Circle * Angle of Sector/Angle of Whole Circle = Area of Whole Circle * 120/360 = Area of Whole Circle / 3 = 64*pi/3 = 67.0 to the nearest tenth.
No. Assuming the measure of the arc is in some units of length along the curve, you have to divide the result by the circumference of the circle. Basically, you need to multiply the area of the whole circle by the fraction of the whole circle that the sector accounts for.