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
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Bonus Knowledge
To find the circumference of one semicircle, you use the formula \( C = \pi r \), where \( r \) is the radius. If the radius of the semicircle is half the width of the circle at its widest point, you can substitute the value into the formula. Remember that since it's a semicircle, you'll need to divide the full circle's circumference by 2, giving you an engaging way to think about geometry! For a complete solution, you'll also need to calculate the area of the path surrounding the track. This can be found by determining the area difference between two circles: one representing the inner track and another the outer path. Subtract the area of the inner circle from that of the outer circle, and you'll find the area of the path—perfect for visualizing math in a real-world context, like creating sunbathing spaces around a pool!
