Question #39590

the diameter of circle is 42m , a wide path is built around it 3.5m ......find the total area of circle???

Expert's answer

Answer on Question#39590 – Math – Geometry

The diameter of circle is 42m42\mathrm{m}, a wide path is built around it 3.5m3.5\mathrm{m} ...find the total area of circle???

Solution:

We can find total area of circle using the formula:


area of circle=πRtotal2=π(D2+h)2=π(42m2+3.5m)2=1886m2\text{area of circle} = \pi \cdot \mathrm{R}_{\text{total}}^2 = \pi \cdot \left(\frac{\mathrm{D}}{2} + \mathrm{h}\right)^2 = \pi \cdot \left(\frac{42\mathrm{m}}{2} + 3.5\mathrm{m}\right)^2 = 1886\mathrm{m}^2


Answer: total area of circle is equal to 1886m21886\mathrm{m}^2.

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