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The sector must contain an isosceles triangle and so:-

Area of sector: 40/360*pi*3*3 = pi

Area of triangle: 0.5*3*3*Sin(40 degrees) = 2.892544244

Area of segment: pi-2.892544244 = 0.249 square cm rounded to 3 decimal places

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Q: What is the area of a segment enclosed within a sector of a circle that has a radius of 3 cm and an angle of 40 degrees showing work?
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