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Semicircle arc AB,AC,BD and CD divide the circle above in to regions. The points shown along the diameter AD divided in to 6 equal parts. If AD=6 what is the total area of the shaded region?

Semicircle arc AB,AC,BD and CD divide the circle above in to regions. The points shown along the diameter AD divided in to 6 equal parts. If AD=6 what is the to class=

Verified Answer :

crisforp

Area semicircle = π  \(r^{2} / 2;\)

 the total area of the shaded region = 2 [ π ( \(BD / 2)^{2}\) / 2 - π ( \(CD / 2)^{2}\) / 2 ] = 4π - 1π = 3π.

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