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Question 64

A horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long. Over how much area of the field can it graze ?

Solution

Area of the field that the horse can gaze = area of sector having radius $$r=14$$ m

= $$\frac{\theta}{360^\circ} \pi r^2$$

= $$\frac{90^\circ}{360^\circ} \times\frac{22}{7} \times14\times14$$

= $$\frac{1}{4}\times22\times28$$

= $$22\times7=154$$ $$m^2$$

=> Ans - (A)

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