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 m2, what is the radius of
22
the field 2 (Take T
7
(1) 130 m (2) 185 m
(3) 140 m (4) 145 m​

Answer 1

Answer:

Length of tank =180m

Breadth of tank =120m

Area of tank

=l×b

=180×120

=21600m

2

Area of land portion =40000m

2

Therefore,

Area of circular field =40000+21600=61600m

2

Let r be the radius of a circular field.

Therefore,

Area of field =πr

2

⇒πr

2

=61600

⇒r

2

=

22

61600×7

⇒r=

19600

=140m

Hence the radius of field is 140m.

hope it helps you

Answer 2

Area of the tank= length × breadth

=180×120=21600m^2

Total area of the circular plot

=40000+21600=61600m^2

area of circle = 61600

Let r be the radius of a circular field.

Therefore,

Area of field =πr2

=>πr2=61600

=>r2=61600×7/22

=>r2=root19600=140m

Hence the radius of field is 140m.