find area of shaded region
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Question

In a circular table cover of radius 32cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in figure. Find the area of the design (shaded region)


A
(716148−2183)cm
B
(719221−5723)cm
C
(76288−6723)cm
D
None of these
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Solution

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Correct option is D)
Refer fig.
cosθ=OAAD
cos30∘=23
AD=23×32
AD=163cm
AB=323cm
shaded region = Area of circle - Area of triangle
=π(32)2−3×21×
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