the area of a circular road is 22176 sq m . if the diameter of the outer circle is 280 m , find the width if the road

Dear Student,

Please find below the solution to the asked query :
$$\begin{gathered} \mathrm{Let} \mathrm{the} \mathrm{outer} \mathrm{radius} = \mathrm{R} \mathrm{and} \mathrm{inner} \mathrm{radius} = \mathrm{r} \\ \mathrm{So} \mathrm{according} \mathrm{to} \mathrm{the} \mathrm{question} \\ \mathrm{R} = 280/2=140 \mathrm{m} \\ \mathrm{and} \\ \mathrm{\pi }\left({\mathrm{R}}^2-{\mathrm{r}}^2\right)= 22176 \\ \frac{22}{7}\times \left({140}^2-{\mathrm{r}}^2\right)= 22176 \\ 19600-{\mathrm{r}}^2= 7056 \\ \mathrm{r} = 112\mathrm{m} \\ \mathrm{So} \mathrm{width} \mathrm{of} \mathrm{the} \mathrm{road}= 140-112=28\mathrm{m} \end{gathered}$$

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