A horse is tied to a post by a rope. if the horse moves along a circularpath, always keeping the rope tight and describes 88 metres when ittraces 72° at the centre, find the length of the rope.
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The horse covers a sector of a circle with radius = length of the rope, l
and perimeter of the sector= 88m
and angle subtended at the center= 72°
Perimeter of a sector = Ф/360° × 2
r
∴ 88 = 72°/360° × 2*(22/7)*l
On solving, l(=length of rope=radius of circle)=70 m
and perimeter of the sector= 88m
and angle subtended at the center= 72°
Perimeter of a sector = Ф/360° × 2
∴ 88 = 72°/360° × 2*(22/7)*l
On solving, l(=length of rope=radius of circle)=70 m
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