what is the ratio of the area of the red sector to then area of the whole square ?
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ans is π/80.
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Draw a diameter in circle which is d.
now, side of the square= d
and radius = d/2
so, area of the sector= π (r)^2 × (18/360)
=π (d/2)^2×(18/360)
now, area of the square= (side)^2= (d)^2
hence, ratio = area of the sector/ area of the square
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