Question

In the given figure AB = CD = 2BC = 2BP = 2CQ In the middle a circle with radius 1 cm is drawn In the rest of the figure all are the semicircular arcs The perimeter of the whole figure is _______

• A. $4\pi$
• B. $8\pi$
• C. $10\pi$
• D. None of these

Answer 1

Answer: (C)

$10\pi$

Given BO= 1cm,
The perimeter of the whole figure= perimeter of APB+perimeter of BOC +perimeter Of CQD
$P=\Pi \ast 2r+\Pi \ast r+\Pi \ast r+2\Pi r+\Pi \ast 2r+\Pi \ast r+\Pi \ast r$
$P=10\Pi r$
Answer (C) $10\pi$