A cow is tethered by a rope to one corner of a 20 m square field. The cow can graze half the area of the field. How long is the rope?
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7th
Maths
Perimeter and Area
Applications of Perimeter and Area of Regular Shapes
A cow is tied with a rope o...
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Asked on January 17, 2020 by
Nilraj Johnson
A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m×16m. The area of the field in which the cow can graze is :
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ANSWER
Given-ABCD is a rectangular field of dimensions 20m×16m.
A cow tied by a rope BP=BQ=14m at B, is grazing.
Here the cow grazes an area A = Area of Sector with central angle 90
o
and radius 14m.
∴A=
360
o
θ
×π×r
2
where θ= Central Angle =90
o
,
and
r= radius of the sector=14m.
∴A=
360
o
90
o
×
7
22
×14
2
=154m
2
.
solution
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