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Observe the figures below. Radii of all circles are equal. Observe the areas of the shaded regions and complete the following table.

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Observe the figures below. Radii of all circles are equal. Observe the areas of the shaded regions and complete the following table.

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Thus, if measure of an arc of a circle is θ, then

 Area of sector (A) = θ/360 × Area of circle 

∴ Area of sector (A) = θ/360 × πr2

∴   A/πr2 = θ/360

ie., Area of the sector)/(Area of the circle) =  θ/360

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