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)
(use π = 227)
Answer: Option B
:
B
Given: radius for sector OAC = 14 cm and angle subtended = 40∘ and
radius for sector OBD= 7cm and angle subtended = 40∘
Area of Sector = x∘360∘×πr2
Required area = [Area of sector OAC – Area of sector OBD]
=40360×227×142–40360×227×72
= 68.42 - 17.1
= 51.32cm2
∴Area of shaded region =51.32cm2
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:
B
Given: radius for sector OAC = 14 cm and angle subtended = 40∘ and
radius for sector OBD= 7cm and angle subtended = 40∘
Area of Sector = x∘360∘×πr2
Required area = [Area of sector OAC – Area of sector OBD]
=40360×227×142–40360×227×72
= 68.42 - 17.1
= 51.32cm2
∴Area of shaded region =51.32cm2
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