A circular garden is surrounded internally by a 3m wide path. If the d

1.	A circular garden is surrounded internally by a 3m wide path. If the diameter of thegarden is 24 m, find the area of the path.
Answer» Given: Diameter of circular garden = 24m Width of circular path = 3m To find: The are of circular path = ? SOLUTION: We KNOW the relation between Radius, $r$ and Diameter, $d$ : $r = \dfrac{d}{2}$ Please REFER to the attached image. So, radius of Circular Garden: $R=\dfrac{24}{2} = 12\ m$ Circular path has a width of 3m, so Radius of inner circle: $r = R - 3\\\Rightarrow r = 9\ m$ AREA of circular path = Area of OUTER circle - Area of inner circle We know that area of a circle is defined as: Area $= \pi \times Radius^2$ So, area of circular path = $\pi R^{2} - \pi r^{2}$ $\Rightarrow \pi (12^2-9^2)\\\Rightarrow \dfrac{22}{7} \times 63\\\Rightarrow 22 \times 9\\\Rightarrow 198\ m^{2}$ So, area of circular path is = $198\ m^{2}$