In the given figure, ABCD is a square. EFGH is a square formed by joing mid points of sides of ABCD. LMNO is a square formed by joining mid point of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 cm2, then what is the area (in cm2) of square ABCD?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 196
Given area of circle = 38.5 cm2
HG = Diagonal of square LMNO = 
In triangle HGC,
HC2 + GC2 = HG2
∴ HC = CG = 7 cm
CD = 2 × HC = 14 cm
∴ Area of square ABCD = 142 = 196 cm2