Question
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.
Answer: Option A
:
A
From the figure, two circles of radius 4 cm exist in the rectangle.
Their total area = 2πr2 = 2 × 3.14x16 = 100.48cm2
From figure
Length of rectangle is 4r = 16 cm
Breadth of rectangle is 2r = 8cm
Area of rectangle = 16 x8 = 128cm2
Required area = [Area of rectangle - Total area of circles]
=128 - 100.48= 27.52cm2.
∴ The area of the shaded region
=27.52cm2.
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:
A
From the figure, two circles of radius 4 cm exist in the rectangle.
Their total area = 2πr2 = 2 × 3.14x16 = 100.48cm2
From figure
Length of rectangle is 4r = 16 cm
Breadth of rectangle is 2r = 8cm
Area of rectangle = 16 x8 = 128cm2
Required area = [Area of rectangle - Total area of circles]
=128 - 100.48= 27.52cm2.
∴ The area of the shaded region
=27.52cm2.
Was this answer helpful ?
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