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Question

# A circular wire of radius 1 dm is cut and is placed along the circumference of a circle of radius of one metre. The angle subtended by the wire at the centre of the circle is equal to

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Solution

## The correct option is D π5 radianLength of wire =2πr=2π×0.1=0.2π mThis length is equal to the length of the arc of the larger circle radius=1 mLength of arc =θ3600×2π×r (Where θ is the angle subtended at the center)Therefore,θ3600×2π×1=0.2πθ3600=0.1θ=360θ=360×π1800θ=π5 radianHence, this is the answer.

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