The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
A. πr/3
B. πr/2
C. πr/12
D. πr/6

Correct Option: Answer is A
Solution:

r/(r/2) Sin θ = 1/2
θ = sin−1 (1/2) = 30o = 60o
Length of arc (minor)
ST = θ/360 x 2πr
60/360 ×2π×r= π/3

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