Question

Consider a square track ABCD. A circular track EPHQ is inscribed in the above square track, while a hexagonal track EFGHIJ is inscribed in the above circle and track EGI is a triangular path inscribed inside the hexagonal track. All figures are regular.
If a, b ,c and d are lengths of the square, circular, hexagonal and triangular tracks respectively, then which of the following is true?

• A. $3\sqrt{3b}=\sqrt{3}\pi c=2d$
• B. $3\pi a=12b=4\pi c$
• C. $3\pi a=\sqrt{3}\pi c=2\pi d$
• D. $3\pi a=12b=2\pi d$

Answer 1

The correct option is B $3\pi a=12b=4\pi c$

The correct answer is option (b). Check the video for the approach.