Question

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Answer 1

Answer:

Let the radius of the semicircle is 'r'

So diameter is 2r.

now, r + 2r + r + 6 = 14

4r = 8

r = 2 cm

Area of shaded region = Area of square of side 14 cm - 4 x area of semi circle of radius 2 - Area of square of side 4 cm

=

${(14)}^{2} - 4 \times \frac{1}{2} \times \frac{22}{7} \times {(2)}^{2} - {(4)}^{2} \\ = 196 - 16 - \frac{176}{7} \\ = 180 - \frac{176}{7} \\ = \frac{1260 - 176}{7} \\ = \frac{1084}{7} {cm}^{2}$

Answer 2

Answer:

Answer:

Let the radius of the semicircle is 'r'

So diameter is 2r.

now, r + 2r + r + 6 = 14

4r = 8

r = 2 cm

Area of shaded region = Area of square of side 14 cm - 4 x area of semi circle of radius 2 - Area of square of side 4 cm

=

\begin{gathered} {(14)}^{2} - 4 \times \frac{1}{2} \times \frac{22}{7} \times {(2)}^{2} - {(4)}^{2} \\ = 196 - 16 - \frac{176}{7} \\ = 180 - \frac{176}{7} \\ = \frac{1260 - 176}{7} \\ = \frac{1084}{7} {cm}^{2} \end{gathered}

(14)

2

−4×

2

1

×

7

22

×(2)

2

−(4)

2

=196−16−

7

176

=180−

7

176

=

7

1260−176

=

7

1084

cm

2