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圆周 = 2πr,圆周角a对应的弧长为2πr*a/360
假设小圆半径r, 大圆半径r+12,因此同心圆中同圆心角的弧长比 = 2πr*a/360 : 2πR*a/360 = r : R = r : (r + 12) = 8π : 12π = 2 : 3
3r = 2r + 24,r = 24
小圆半径 = 24 (cm)
大圆半径 = 24 + 12 = 36 (cm)
小圆圆周 = 2 * 24 * π = 48π
圆心角 = 360 * 8π/48π = 60 (度)
假设小圆半径r, 大圆半径r+12,因此同心圆中同圆心角的弧长比 = 2πr*a/360 : 2πR*a/360 = r : R = r : (r + 12) = 8π : 12π = 2 : 3
3r = 2r + 24,r = 24
小圆半径 = 24 (cm)
大圆半径 = 24 + 12 = 36 (cm)
小圆圆周 = 2 * 24 * π = 48π
圆心角 = 360 * 8π/48π = 60 (度)
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