A fence encloses a square field whose sides measure 12 m. A horse is tethered to a rope that is attached to a corner post of the field so that the horse is outside the fence, If the rope holding the horse is 10 m long, find the total grazing area of the horse in square metres.
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A fence encloses a square field whose sides measure 12 m. A horse is tethered to a rope that is attached to a corner post of the field so that the horse is outside the fence, If the rope holding the horse is 10 m long, find the total grazing area of the horse in square metres.
Areagrazing = π r2 – ( 90/360 ) π r2
= (3/4) π r2
= (3/4) • 3.14 • (10 m)2
= (3/4) • 3.14 • 100 m2
= 235.5 m2
The horse can graze inside a circle with a radius that's the length of the rope,
except the 90o portion of the circle blocked to him by the corner of the fence.
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