SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 79 of 100

Marks: +1, -0

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

$π/4$
$π/2-1$
$π/5$
$(√2-1)$

Validate

Solution:

(2)

Distance between centres = diagonal of square

= √2

cm.
∴ Ex radii

= 1 /√2

cm.
Required area = Area of ex-circle – area of square

=π/2-1

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