Jay tethered a cow at one corner of a rectangular field with rope 7m and Ajay tethered a buffalo at other corner of the same field with rope 6.3m. The dimensions of the rectangular field are 80m by 50m.
Answer the following questions:
a) Which gazed more part of the field?
b) Find the ratio of grazing parts of the field by both.
c) Find the area of remaining field.
Answers
Given : Jay tethered a cow at one corner of a rectangular field with rope 7m
Ajay tethered a buffalo at other corner of the same field with rope 6.3m.
The dimensions of the rectangular field are 80m by 50m.
To Find : a) Which gazed more part of the field?
b) Find the ratio of grazing parts of the field by both.
c) Find the area of remaining field.
Solution:
cows and buffaloes are tethered at corners
Hence they can grazer 1 quarter of circle
Hence area grazed = (1/4) π ( radius)²
radius = Length of rope
as length of rope of cow is greater 7 > 6.3
Hence cow gazed more part of the field
ratio of grazing parts of the field by both.
cow : buffalo
(1/4) π ( 7)² : (1/4) π ( 6.3)²
=> ( 7)² : ( 6.3)²
=> ( 70)² : ( 63)²
=> 10² : 9²
=> 100 : 81
ratio of grazing parts of the field by both. = 100 : 81
area of remaining field. = 80 * 50 - ( (1/4) π ( 7)² + (1/4) π ( 6.3)² )
= 4000 - 38.5 - 31.185
= 3,930.315 m²
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