Consider a circle with unit radius. There are seven adjacent sectors, S1,S2,S3,....S7, in the circle such that their total area is 18 of the area of the circle. Further, the area of the jth sector is twice that of the (j–1)th sector, for j = 2,....,7. Find the ratio of area of S1 to the circle.

Consider a circle with unit radius. There are seven adjacent sectors,

1.	Consider a circle with unit radius. There are seven adjacent sectors, S1,S2,S3,....S7, in the circle such that their total area is 18 of the area of the circle. Further, the area of the jth sector is twice that of the (j–1)th sector, for j = 2,....,7. Find the ratio of area of S1 to the circle.
Answer» Consider a circle with unit radius. There are seven adjacent sectors, $S_{1}, S_{2}, S_{3}, . . . . S_{7}$ , in the circle such that their total area is $\frac{1}{8}$ of the area of the circle. Further, the area of the jth sector is twice that of the $(j - 1)^{t h}$ sector, for j = 2,....,7. Find the ratio of area of $S_{1}$ to the circle.

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Consider a circle with unit radius. There are seven adjacent sectors, S1,S2,S3,....S7, in the circle such that their total area is 18 of the area of the circle. Further, the area of the jth sector is twice that of the (j–1)th sector, for j = 2,....,7. Find the ratio of area of S1 to the circle.

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