a horse is tethered to one corner of a rectangular field of dimensions rom x 52m,by asore Rope of length zim. How Much area of the field can
it graze?
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Step-by-step explanation:
Length of the rectangle, l =70 m
Breadth of the rectangle, b =52 m
Length of the rope =28 m
Shaded portion AEF indicates the area in which the horse can graze. Clearly, it is the area of a quadrant of a circle of radius, r =28 m
Area of the quadrant AEF =1/4×πr2 sq. units
=1/4×22/7×28×28=616m2
∴ Grazing Area = 616 m2
Area left ungrazed = Area of the rectangle ABCD - Area of the quadrant AEF
Area of the rectangle ABCD = l×b sq. units
=70×52=3640m2
∴ Area left ungrazed =3640−616=3024 m^2.
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