Question

A road is 3.5 M wide surrounds a circular plot whose circumference is 44 m find the cost of paving the road at rupees 20 per metre square

Answer 1

road 3.5m wide surrounds a circular plot whose circumference is 44 m.
find the cost of paving the road at rs 50 per m sq
:
Find the radius of the plot
 = 44
:
r = 
r = 7.0 meters
:
Find the area of the plot
A = 
A = 154 sq/m
:
Radius of the whole thing: 7 + 3.5 = 10.5 meters
Find the Area of the whole thing
A = 
A = 346.36 sq/m
:
Find the area of the road only
346.36 - 154 = 192.36 sq/m
:
Find the cost of the road
192.36 * 50 = 9,618. 03 Rs 

Answer 2

Circumference of a circular plot = 44m

2πr = 44

2*22/7*r = 44

. '. r= 44*7/2*22 = 7m

. '. Radius of a circular plot excluding the road( r) = 7m

Width of the road = 3.5m

Therefore, radius of a circular plot including the road( R)=( 7+3.5) = 10.5m

Area of a circular road = area of a circular plot including the road - area of a circular road excluding the toad

= 2πR²-2πr²

=2π(R²-r²)

=2*22/7(10.5²-7²)

=44/7(110.25-49)

=44/7*61.25

=385 m²

Therefore, cost of paving the road

= 385*20= RS. 7700

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