A 7m wide path is be constructed all around the circular garden of diameter 112m.find the cost of constructing the path at 75 Rs per sq m.
Answers
diameter =112m
radius =112/2=56m
area of circle =22/7×r squaric metre
area=22/7×56×56
area of circle =9856 squaric metre
then,
the cost of constructing the path at 75 RS per sq m= 9856×75=RS 739200
196350 Rs. Sqr. m is the cost of constructing the path at 75 Rs per sq m.
Step-by-step explanation:
The diameter of garden = 112m
So, the Radius of garden (r) = 112m/2
= 56m
Now, The Radius of Outer circle made by path constructed (R) = 56m + 7m
= 63m
The Area of garden = pi * r * r
= 22/7 * 56m * 56m
= 9856 sqr. m
The Area of garden including path = pi * R * R
= 22/7 * 63m * 63m
= 12474 sqr. m
Now,
The Area of Path Constructed = Area of garden including path - Area of garden
= 12474 sqr. m - 9856 sqr. m
= 2618 sqr m
Now,
Rate of construction of 1 sqr m path = 75 Rs
Cost of Construction of 2618 sqr m = 75 Rs. * 2618 sqr m
= 196350 Rs
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