if a circle is inscribed in a equilateral triangle then find the area of the square inscribed in circle
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Answer:a^2\6
Step-by-step explanation:
r = radius of incircle
∆ = area of triangle=√3\4a^2
r = ∆\s
=> (√3\4a^2) ÷ (3a\2)
=> a\2√3
area of square = 1\2 * square of
diagonal
=> 1\2 * a^2\3 => a^2\6
Hence proved
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