UPSC NDA I 2019 Mathematics Solved Paper

(A)
Given diameter of circle = 44 cm ⇒ radius = 22 cm
Length of chord = 22 cm

Let AB be the given chord
From figure, it is clear that ∆OAB is equilateral triangle
∴ length of arc AB (minor) =

1

6

(Perimeter of circle)
=

1

6

( πD)
=

1

6

×

22

7

× 44
=

484

21

cm