Question

A horse is tethered to the corner of a rectangular field 50m by 20m by a 14m long rope.The area of the field that it can graze

Answer 1

hey there !!

the length and breadth of the rectangle are 50m and 20m respectively .

now , area of rectangle = length × breadth

area = 50×20 = 1000m²

now ,

radius of the sector = 14m ( radius = rope length ).

now , area of sector = ∅/360×πr²

area = 90/360×22/7×14²

area = 1/4×22/7×14×14

area = 11/7×14

area = 22m²

hence horse can graze only 22m² of the rectangular area .

and remaining 78m² area of the field he can't graze .

hope it helps you !!

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