A horse is placed for grazing inside a rectangular field 70m by 52m and is tethered to one corner by a rope 21 m long. How much area can it graze
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Step-by-step explanation:
The question is quite twisted but easy one..
Here the horse is tethered to one corner implies or means that the area available for grazing is a quadrant of radius 21 m. Now we need to find the area of this quadrant to find out the area available for grazing.
So, Area available for grazing = Area of quadrant
Area of rectangular field = l × b
= (70 × 52) m2
= 3640 m2
Radius of quadrant = Length of rope = 21 m
Area of quadrant = θ/360° × πr^2
= 90°/360° × π(21)^2
= 1/4 × 22/7 × 441
= (22×63)/4
= 1386/4
= 346.5 m2
Therefore, Area of field it can graze = 346.5 m2.
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Area grazed by horse ◕➜
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