题目内容

半径为R的扇形的周长为4R,则此扇形所含弓形的面积为(    )

A.(2-sin15cos1)R2                                      B.R2sin15cos1

C.R2                                                            D.R2-sin15cos15R2

 

解析:4R=2R+Rα,∴α=2.

∴S=αR2-R5Rsin2=×2R2-2R2sin1·cos1=R2-sin1·cos1·R2.

答案:D

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