Question

There is a rectangular tank of length 180 m and breadth  120 m in a circular field . If the area of the land  portion of the field is 40000 `m^2` , what is the radius of he field ?


Options:
A .  130 m
B .  135 m
C .  140 m
D .  145 m
Answer: Option C

Total area of the field  = [(180 x 120) + 40000] `m^2`

= (21600 + 40000) `m^2` = 61600 `m^2`

`:.`     `pi R^2 = 61600`

`hArr  r^2  = (61600 xx 7/22)` = 400 x 7 x 7) m

`hArr    R = 20 x 7 =  140 m.




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