The area in $c m^{2}$ of the shaded region if the radius of the smaller circles are 1 cm 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 figure, area equal to one full circle exists in the semi-circle.

Area of larger semi-circle = $\frac{3.14 \times 2^{2}}{2}$ = 6.28 $c m^{2}$

Area of smaller semi-circles = 2 x $\frac{3.14 \times 1^{2}}{2}$ = 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 1 cm each is 6.28 cm2.

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

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