<PRE><B>Question 607454</B>
A 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
{{{2*pi*r}}} = 44
:
r = {{{44/(2*pi)}}}
r = 7.0 meters
:
Find the area of the plot
A = {{{pi*7^2}}}
A = 154 sq/m
:
Radius of the whole thing: 7 + 3.5 = 10.5 meters
Find the Area of the whole thing
A = {{{pi*10.5^2}}}
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 </PRE>