In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 cm. Find the area of the shaded region in cm².

27.5 cm²

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17.5 cm²

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24.8 cm²

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34. 43 cm²

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Solution

The correct option is A
27.5 cm²

From the figure, two circles of radius 4 cm exist in the rectangle.

Their total area = 2 $π r^{2}$ = 2 $π$ x 16 = 100.48

Area of rectangle = 16 x 8 = 128

Required area = 128 - 100.48 = 27.52 $c m^{2}$ .

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In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 cm. Find the area of the shaded region in cm2.

The correct option is A 27.5 cm2 From the figure, two circles of radius 4 cm exist in the rectangle. Their total area = 2πr2 = 2π x 16 = 100.48 Area of rectangle = 16 x 8 = 128 Required area = 128 - 100.48 = 27.52 cm2.

In the figure, two small circles touch each other externally at the centre of a bigger circle and these small circles are touched internally by a bigger circle with radius 4 cm. Find the area of the shaded region in cm².

The correct option is A
27.5 cm²

From the figure, two circles of radius 4 cm exist in the rectangle.

Their total area = 2 $π r^{2}$ = 2 $π$ x 16 = 100.48

Area of rectangle = 16 x 8 = 128

Required area = 128 - 100.48 = 27.52 $c m^{2}$ .