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Mathematics

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

  1. 140 cm2

  2. 77 cm2

  3. 294 cm2

  4. 217 cm2

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

Mensuration

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Answer

Area of shaded region = Area of rectangle + Area of semi-circle

= length × breadth + πr22\dfrac{πr^2}{2}

= 14 × 10 + 227×(7)22\dfrac{\dfrac{22}{7} \times (7)^2}{2}

= 140 + 1542\dfrac{154}{2}

= 140 + 77

= 217 cm2.

Hence, Option 4 is the correct option.

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