In the given figure ABCD is square and OE = 7 cm.
The perimeter of the figure is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 64 cm
The perimeter is the length of the outer boundary of the figure: the arc DEA and the sides DC, CB and BA. The side AD is shared by the square and the semicircle and lies inside the figure, so it is not counted. The radius OE is 7 cm, so the side of the square is AD \(=14\) cm.
Arc DEA, half a circle: \(\displaystyle \pi r=\frac{22}{7}\times7=22\) cm
Three sides of the square: \(3\times14=42\) cm
Perimeter \(=22+42=64\) cm