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Question

Find the area of the shaded region (in cm2) as shown in figure of the two concentric circles with centre O and radius 7 cm and 14 cm respectively. Given AOC = 40.
(use π = 227)


A

42.1 cm2

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B

51.32 cm2

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C

67.8 cm2

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D

96.5 cm2

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Solution

The correct option is B

51.32 cm2


Given: radius for sector OAC = 14 cm and angle subtended = 40 and
radius for sector OBD = 7 cm and angle subtended = 40

Area of Sector = x360×πr2
Required area = [Area of sector OAC – Area of sector OBD]
=40°360°×227×14240°360°×227×72
= 68.42 - 17.1
= 51.32 cm2
Area of shaded region = 51.32 cm2


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