Direction: In the given figure ABCD is a square and the radius of the semicircle is 7 cm.
On the basis of the above information answer the questions.
The perimeter of the figure is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 64 cm
The perimeter is the length of the outer boundary of the figure: the three sides AB, BC and CD, and the curved edge of the semicircle. Side AD is dashed in the figure; it is not part of the boundary, because the semicircle has replaced it.
Side of the square \(=2\times7=14\) cm, so three sides \(=3\times14=42\) cm
Curved edge of the semicircle \(\displaystyle =\pi r=\frac{22}{7}\times7=22\) cm
Perimeter \(=42+22=64\) cm