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 area of the figure is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 119 cm2
The semicircle stands on side AD and bulges into the square, so its area is cut out of the square. Its diameter is AD, so 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 \(=196-77=119\,\mathrm{cm^2}\)