2. A circular swimming poel of diameter of 7 m has a path af 3.5 m romed it. calculate the area of the path? use \( n=22 / 7 \)

To calculate the area of the path around the circular swimming pool, we need to find the area of the annulus formed by the path. Given: - Diameter of the circular swimming pool = 7 m - Radius of the circular swimming pool = 7 m / 2 = 3.5 m - Radius of the path = 3.5 m + 3.5 m = 7 m The area of the annulus (path) can be calculated using the formula: \[ \text{Area of annulus} = \pi \times (R^2 - r^2) \] where: - \( R \) is the outer radius (radius of the path) - \( r \) is the inner radius (radius of the pool) Substitute the values: \[ \text{Area of annulus} = \frac{22}{7} \times (7^2 - 3.5^2) \] Now, we can calculate the area of the path. Calculate the value by following steps: - step0: Calculate: \(\frac{22}{7}\left(7^{2}-3.5^{2}\right)\) - step1: Convert the expressions: \(\frac{22}{7}\left(7^{2}-\left(\frac{7}{2}\right)^{2}\right)\) - step2: Subtract the numbers: \(\frac{22}{7}\times \frac{147}{4}\) - step3: Reduce the numbers: \(11\times \frac{21}{2}\) - step4: Multiply: \(\frac{11\times 21}{2}\) - step5: Multiply: \(\frac{231}{2}\) The area of the path around the circular swimming pool is \( 115.5 \, \text{m}^2 \).