Acrivity 1 There is a path of \( I \) me widh arenand the thack. 1.1 Calculate the circumference of one scmi-circle of the track. 1.2 Caleulate the perimeter of the total track. \( \mathrm{I} m \) in width. Caleulate the 1.3 There is a path around the track, w. area of the path. 1.4 The athletics club manager wants to ercet a fence one metre from the track (on the outside perimeter of the path). Calculate how many metres of fencing he will have to buy. 1.5 The fence must be supported by poles planted three metres apart. How many poles are needed? If he pays R115,95 per running metre of fencing, what is the cost of

To calculate the required measurements and costs for the athletics track and fencing: 1. **Circumference of One Semicircle**: \[ C_{\text{semicircle}} = \pi r \] (Where \( r \) is the radius of the semicircle.) 2. **Perimeter of the Total Track**: \[ P = 2 \cdot C_{\text{semicircle}} + 2L \] (Where \( L \) is the length of the straight sections.) 3. **Area of the Path**: \[ A = \text{Area of larger rectangle} - \text{Area of smaller rectangle} \] 4. **Fencing Requirement**: - New perimeter = Outer perimeter of the path. - Total fencing needed = New perimeter. 5. **Number of Poles Needed**: \[ \text{Number of poles} = \frac{\text{Total fencing}}{3} \text{ meters apart} \] 6. **Cost of Fencing**: \[ \text{Cost} = \text{Total fencing} \times R115.95 \] **Note**: The value of \( I \) (width of the path) is required to perform the calculations accurately.