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Mathematics

The perimeter of the shaded region shown in the below figure is

  1. 44 cm

  2. 88 cm

  3. 66 cm

  4. 132 cm

The perimeter of the shaded region shown in the figure is? Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Mensuration

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Answer

Radius of larger semi-circle (R) = 14 cm and radius of smaller semi-circle (r) = 7 cm.

From figure,

Perimeter of shaded region = Circumference of larger semi-circle + 2 × Circumference of smaller semi-circle

= πR + 2πr

= 227×14+2×227×7\dfrac{22}{7} \times 14 + 2 \times \dfrac{22}{7} \times 7

= 44 + 44 = 88 cm.

Hence, Option 2 is the correct option.

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