PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16√2 – √16
(8 – a)2 + (8 – a)2 = (2a)2
⇒ 2(8 – a)2 = 4a2
⇒ 8 – a = √2 × a
⇒ a = 
Hence,
Side of regular octagon = 2a = 16√2 – √16 cm