IIT JEE , AIEEE Forum - Mathematics , Algebra

ashish_banga

Q A chord is drawn at random in a given circle. Then the probability that it is greater than the side of the equilateral triangle inscribed in that circle is:
(A) 1/3 (B) 1/2 (C) 1/5 (D) None of these

feynmann

a ) 1/3

because the equilateral triangle has an angle of 60 deg and the total angle in a st. line = 180 deg.

To meet the condition , the chord must lie within the vertical angle made by the eq. triangle . ( or the arc length covered by the triangle )

in either case the ans is = 60/180 = 1/3

ashish_banga

how comes 60/180

dinesh_ddt

hey i thinks its wrong
rad of triangle is 4r/root(3)
prob is (2r-4r/root(3))/2r

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