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In the figure below, a unit square ROST is inscribed in a circular sector with centre O.Along with the above information, which of these is SUFFICIENT to find the area of sector POQ?A) area of the square ROSTB) radius of sector POQC) arc length PQD) (the given information is sufficient

Question

In the figure below, a unit square ROST is inscribed in a circular sector with centre O.Along with the above information, which of these is SUFFICIENT to find the area of sector POQ?A) area of the square ROSTB) radius of sector POQC) arc length PQD) (the given information is sufficient

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Solution

The question seems to be incomplete as the figure is not provided. However, based on the given information, to find the area of the sector POQ, we would need the radius of the sector and the angle of the sector.

Option A) The area of the square ROST would not be sufficient because it does not provide information about the radius or the angle of the sector.

Option B) The radius of the sector POQ would be sufficient if we also knew the angle of the sector.

Option C) The arc length PQ would be sufficient if we also knew the radius of the sector.

Option D) The given information is not sufficient because we do not know the angle of the sector or the radius.

So, none of the options A, B, C, or D is sufficient on its own to find the area of sector POQ. We would need additional information.

This problem has been solved

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