Question

The figure above consists of a square and $2$ semicircles, with dimensions as shown. Calculate its outside perimeter ( in centimeters )

• A. $8+8\pi$
• B. $16+8\pi$
• C. $16+16\pi$
• D. $32+8\pi$
• E. $32+16\pi$

Answer 1

The correct option is B $16+8\pi$

The radius of the semi circles is the half the length of the side of the square.
Hence, the required perimeter is
$=(2\times$ length of the square$)+(2(\pi \times 4))$
$=(2\times 8)+\left(8\pi \right)$
$=16+8\pi$.