uptetd16p2 q140

140A horse is tethered to a stake by a rope of 30 m long. If the horse moves along the circumference of a circle keeping rope tight, find that how far the horse have gone from initial point if the rope has traced an angle of 105⁰ at the center?

Option : A
Explanation :

Radius = m, θ = 105⁰
Length of the arc (̅AB) = (πrθ)/180⁰

= 55 m
∴ Horse covered a distance of 55 m from initial point A to B.

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