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0 votes
16.8k views
in Mathematics by (63.3k points)

If two circles each of unit radius intersect orthogonally, the common area of the circle is

(a)  2π/3 - √3

(b)   2π/3 + √3

(c)  2π/3 - √3/2

(d)   2π/3 + √3/2

1 Answer

+1 vote
by (67.9k points)
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Best answer

Correct option  (d)   2π/3 + √3/2

Explanation:

Required area = 2. Area of sector ABC – Area of square ABCD

= (90/360. π) 2 - 12 = π/2 - 1 sq.units

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