A road 3.5 m surrounds a circular plot whose circumference is 22m. Find the cost of paving the road at rupees 20 per metre square
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Answer:
here your answe
Step-by-step explanation:
Let the
′
r
′
and
′
R
′
be the radii of the inner and outer circle respectively.
Circumference of the inner circle
=
44
m
2
π
r
=
44
2
×
22
7
×
r
=
44
r
=
44
7
×
44
r
=
7
m
So, the radius of the inner circle is
7
m
Width of the road
=
3.5
m
So, radius of the outer circle
=
7
+
3.5
=
10.5
m
Area of the road
=
π
R
2
−
π
r
2
=
22
7
×
10.5
×
10.5
−
22
7
×
7
×
7
=
346.5
−
154
=
192.5
Area of the road
=
192.5
m
2
Cost of paving the road
=
R
s
.
50
per
m
2
Total cost of paving the road
=
192.5
×
50
=
R
s
.
9625
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