a circle is inscribed in a rhombus with diagonals 12 and 16, what is the ratio of area of circle to that of rhombus

Question

Answer 1

my doubt here is why when a perpendicular is dropped to the tangent of circle which is the side of rhombus, isnt getting bisected? This is the general rule we learn right

Answer 2

my doubt here is why when a perpendicular is dropped to the tangent of circle which is the side of rhombus, isnt getting bisected? This is the general rule we learn right

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a circle is inscribed in a rhombus with diagonals 12 and 16, what is the ratio of area of circle to that of rhombus