Bunuel wrote:

In the figure above, inscribed ∆ ABC is equilateral.If the radius of the circle is r, then the length of arc AXB is

(A) 2πr/3

(B) 4πr/3

(C) 3πr/2

(D) πr^2/3

(E) 2πr^2/3

Attachment:

2017-11-14_1155_001.png

Since the Triangle is an Equilateral triangle so it will divide teh circumference in 3 equal parts

i.e. Arc AXB = (1/3)*Circumference of Circle

i.e. Arc AXB = (1/3) 2πr

Answer: Option A

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