Question

Find the area of the shaded region :​

Answer 1

Answer:

42 cm²

Step-by-step explanation:

Area of the shaded region is area of square-area of circle

Area of square = side ×side

Here side is 14

Area of square = 14×14 = 196

Area of circle = pi×r²

Radius will be 7 as it is half of side of square

Area of circle = 22/7×7×7

= 22×7

= 154 cm²

Area of shaded region = 196-154

= 42 cm²

Answer 2

$Area \: of \: square = {Side}^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {14}^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 196 \: {cm}^{2} \:$

$Area \: of \: circle = \pi {r}^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22}{7} \times {7}^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22}{7} \times 49$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22}{1} \times 7$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 4 \: cm {}^{2}$

$Area \: of \: shaded \: region = 196 - 154$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 42 \: cm {}^{2}$

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