Question

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?

Answer 1

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.