Question

In the given figure, ABCD is a square
of side 7 cm. BEDA and BFDC are
quadrants of circles, each of radius
7 cm. Find the area of the shaded region (use pie = 22/7)​

Answer 1

Step-by-step explanation:

Area of the square = 7² = 49 cm²

Area of BEDA = Area of BFDC

$= \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \times \frac{22}{7} \times {7}^{2} \\ = \frac{22 \times 7}{4} = 38.5 \: {cm}^{2}$

Therefore,

Area of shaded region = BEDA + BFDC - ABCD = 38.5 + 38.5 - 49 = 28 cm²