The area in $c m^{2}$ of the shaded region if the radius of the smaller circles are $1 c m$ each is $6.28 c m^{2}$ .

True

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False

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Solution

The correct option is B
False

From the figure, the area equal to one full circle exists in the semi-circle.

Area of larger semi-circle
$= \frac{π \times 2^{2}}{2} = 6.28 c m^{2}$

Area of smaller semi-circles
$= 2 \times \frac{π \times 1^{2}}{2} = 3.14 c m^{2}$

Area of shaded portion
$= 3.14 c m^{2}$

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The area in cm2 of the shaded region if the radius of the smaller circles are 1cm each is 6.28cm2.

The correct option is B False From the figure, the area equal to one full circle exists in the semi-circle. Area of larger semi-circle =π×222=6.28cm2 Area of smaller semi-circles =2×π×122=3.14cm2 Area of shaded portion =3.14cm2

The area in $c m^{2}$ of the shaded region if the radius of the smaller circles are $1 c m$ each is $6.28 c m^{2}$ .