Question

If a circle inscribed in an equilateral triangle of side 12 unit and a square inscribed in circle then area of square is

• A. 18
• B. 24
• C. 30
• D. 6

Answer 1

Answer: (B)

24

Answer 2

tan30⁰ = Ž

Ž r = $2 \sqrt { 3 }$

diagonal of a square D = 2r ; D = 2 × $2 \sqrt { 3 }$ =$4 \sqrt { 3 }$

Area of a square = 1/2(4)²

1/2 × $( 4 \sqrt { 3 } ) ^ { 2 }$ = 1/2 × 16 × 3 = 24