Consider the above figure. Find the area in the given rectangle excluding the $6$ identical semicircles.

144 c m^{2}

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126 c m^{2}

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195 c m^{2}

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243 c m^{2}

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Solution

The correct option is C $126 c m^{2}$
Required area $=$ Area of rectangle $- 6$ $\times$ area of $1$ semi-circle
$=$ $42 \times 14 - 6 \times \frac{1}{2} \times \frac{22}{7} \times 7 \times 7$

$= 588 - 462 = 126$ ${c m}^{2}$

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Consider the above figure. Find the area in the given rectangle excluding the 6 identical semicircles.

The correct option is C 126 cm2Required area= Area of rectangle −6 × area of 1 semi-circle = 42×14−6×12×227×7×7 =588−462=126cm2

Consider the above figure. Find the area in the given rectangle excluding the $6$ identical semicircles.

The correct option is C $126 c m^{2}$
Required area $=$ Area of rectangle $- 6$ $\times$ area of $1$ semi-circle
$=$ $42 \times 14 - 6 \times \frac{1}{2} \times \frac{22}{7} \times 7 \times 7$

$= 588 - 462 = 126$ ${c m}^{2}$