Question

a circler field of radius105m has a circular path of uniform width of 5m along and inside it's boundary. find the area of the path

Answer 1

$let \: the \: larger \: radius \: be \: r_{1} \: i.e. \\ = > 105 + 5 \\ = > 110 \: m \\ let \: the \: smaller \: radius \: be \: r_{2} \: i.e.105m \\ \\ now \\ area \: of \: road = \pi { r_{1}}^{2} - \pi { r_{2} }^{2} \\ = > \pi( { r_{1} }^{2} - { r_{2}}^{2} ) \\ = > \frac{22}{7} ( {110}^{2} - {105}^{2} ) \\ = > \frac{22}{7} (12100 - 11025) \\ = > \frac{22}{7} \times 1075 \\ = > 3378.57 \: {m}^{2}$