1.

a circular Garden has radius 56 metre a 7 metre Wide Road runs outside around it find the area of the road what will it cost to gravel the road at rupees 50 per square metre​

Answer»

Answer:

Area of ROAD is 2616.95 <klux>METRE</klux>^{2}.

Cost to gravel the road is 130847.50 rupees.

Step-by-step explanation:

RADIUS of the Garden is R = 56 metre

So, area of the Garden is \pi R^{2} = \pi 56^{2} metre^{2}

Radius of the (Garden+Road) is (R+7) = (56 + 7) metre = 63 metre

So, area of the (Garden+Road) is \pi (R+7)^{2} = \pi 63^{2} metre^{2}

Now, (Area of Road) = (Area of Garden+Road) - (Area of Garden)

So, area of Road is

( \pi 63^{2} - \pi 56^{2} ) metre^{2} = 2616.95 metre^{2}

Cost to gravel the Road is rupees 50 PER metre^{2}.

So the TOTAL cost to gravel the road is

(Area of the Road)*(Cost per metre^{2}) = (2616.95 * 50) rupees = 130847.50 rupees.



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