Find the area of a circular ring formed by the circumference of two concentric circles of radii 11 m and 4 m . Also , find the cost of painting this ring at the rate of Rupees 21 per meter square .
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Here≈
Area of ring= outer surface area - inner surface area.
Given ≈
- outer radius =11 m
- Inner radius = 4 m
- Rate = ₹21/m^2
Taken≈
- Area of circle =πr^2
- Area of ring = (πR^2 - πr^2)
So that ≈
» π(R^2-r^2)
» 22/7(11×11-2×11×4+4×4)
» 22/7(121+16-88)
» 22/7(137-88)
» 22/7(49)
»154 m^2
Cost of painting it≈
- Total area to be painted × cost of painting
» 154×21=3234
Hence the total cost of painting the ring will be ₹3234.
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