In the given figure ABCD is square and OE = 7 cm.
Area covered by the figure is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 273 cm2
The figure is the square ABCD together with the semicircle on its side AD. O is the centre of AD and OE is a radius, so the diameter AD, which is also the side of the square, is \(2\times7=14\) cm.
Area of the square \(=14\times14=196\,\mathrm{cm^2}\)
Area of the semicircle \(\displaystyle =\frac{1}{2}\times\frac{22}{7}\times7\times7=77\,\mathrm{cm^2}\)
Area of the figure \(=196+77=273\,\mathrm{cm^2}\)