Question

Find the area if the shaded region in the figure. Side 14 cm and distance between the square and the flower is 3 cm on all sides

Answer 1

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Answer 2

Answer:

Area of shaded region=154.88 sq-cm

Step-by-step explanation:

Area of shaded region:

Area of square(ABCD)-Area of square(PQRS)- Area of 4 semicircles

Side of square ABCD= 14 cm

Side of square PQRS= 4 cm

Radius of one semicircle= 2 cm

$Area \: of \: square(ABCD) = 14 \times 14 = 196 {cm}^{2} \\ \\ Area \: of \: square(PQRS) = 4 \times 4 = 16 {cm}^{2} \\ \\ area \: of \: 1 \: semicircle = \frac{\pi}{2} {(2)}^{2} = 2\pi \: {cm}^{2}$

Area of shaded region:

$= 196 - 16 - 4(2\pi) \\ \\ = 196 - 16 - 8 \times 3.14 \\ \\ = 180 - 25.12 \\ \\ = 154.88 \: {cm}^{2}$

Hope it helps you.