Question 1042848
the area of a zone of altitude 4 cm is equal to the area of the lune whose angle is 12° and both the zone and the lune are drawn on the same sphere. find the radius of the sphere
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If by zone you mean a spherical cap, its area is
2pi*r*h = 8pi*r
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Area of the lune = 2r^2*(12/180) = 2r^2/15
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8pi*r = 2r^2/15
4pi = r/15
r = 60pi cm