如果圆心角为2π3的扇形所对的弦长为23，则扇形的面积为4π34π3．

Question

如果圆心角为(2π)/(3)的扇形所对的弦长为2√(3)，则扇形的面积为

(4π)/(3)

(4π)/(3)

．(2π)/(3)的扇形所对的弦长为2√(3)，则扇形的面积为

(4π)/(3)

(4π)/(3)

．(2π)/(3)2π2π33√(3)，则扇形的面积为

(4π)/(3)

(4π)/(3)

．√(3)

3

3

(4π)/(3)

(4π)/(3)(4π)/(3)4π4π33

(4π)/(3)

(4π)/(3)(4π)/(3)4π4π33

Answer 1

∵圆心角为(2π)/(3)的扇形所对的弦长为2√(3)，
∴扇形的半径为2，
∴扇形的面积为(1)/(2)×(2π)/(3)×2×2=(4π)/(3)．
故答案为：(4π)/(3)． (2π)/(3)2π2π2π333的扇形所对的弦长为2√(3)，
∴扇形的半径为2，
∴扇形的面积为(1)/(2)×(2π)/(3)×2×2=(4π)/(3)．
故答案为：(4π)/(3)． √(3)

3

33，
∴扇形的半径为2，
∴扇形的面积为(1)/(2)×(2π)/(3)×2×2=(4π)/(3)．
故答案为：(4π)/(3)． (1)/(2)111222×(2π)/(3)2π2π2π333×2×2=(4π)/(3)．
故答案为：(4π)/(3)． (4π)/(3)4π4π4π333．
故答案为：(4π)/(3)． (4π)/(3)4π4π4π333．