Ramdeen tethered a cow at one corner of a rectangular field with rope 7m and mahesh 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.
Answers
Given : Ramdeen tethered a cow at one corner of a rectangular field with rope 7m
mahesh 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.
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
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