area of minor segment formula
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If you know the radius, r, of the circle and you know the central angle, ϴ, in degrees of the sector that contains the segment, you can use this formula to calculate the area, A, of only the segment: A = ½ × r^2 × ((π/180) ϴ - sin ϴ)
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Area of the minor segment = area of sector O A B – area of Δ O A B = 117.75 – 97.31 = 20.44 square cm Area of the circle = π r 2 = 3.1415 × (15) 2 = 3.1415 × 225 = 706.5 square cm
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