Question

if a circle is inscribed in a equilateral triangle then find the area of the square inscribed in circle

Answer 1

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