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Question

A horse is tied to a pole fixed at one corner of a 30m×30m square field of grass, by means of a 10m long rope. Find the area of the field, in which the horse can graze? (Take π=3.14)

A
78.5sq.m
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B
79.5sq.m
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C
76.0sq.m
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D
78.0sq.m
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Solution

The correct option is A 78.5sq.mSide of a square =30 mLength of the rope = Radius of the sector∴ Radius of the sector r=10 mMeasure of arc θ=90o [Angle of a square]Area of field that can be grazed = Area of sector =θ360×πr2 =90360×3.14×10×10 =14×314 =78.5 m2

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