Q. 93.7( 12 Votes )

# The ratio of two angles subtended by two arcs of unequal lengths at the centre is 5:2 and if the sexagesimal value of the second angle is 30°. Then let us determine the sexagesimal value and the circular value of the first angle.

let the length of arcs be 5x and 2x

Let r be the radius of the circle

…[1]

Let θ be the angle subtended by the arc of length 5x.

…[2]

By dividing eq. [1] and eq. [2]

θ = 75°

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