Phindi is an athlete. As part of her training, she runs around the outside of a circular track that has o radius of 88 m . a) How far does Phindi have to run to complete one circuit of the track? Give your answer to the nearest metre. b) As part of her training. Phindi needs to run 12 km on the track. How many cireuits of the track will she have to run? Give your answer to one decimal place.

To solve the problem, we can use the formula for the circumference of a circle, which is given by: \[ C = 2\pi r \] where \( C \) is the circumference and \( r \) is the radius of the circle. ### a) Calculate the distance for one circuit of the track Given that the radius \( r = 88 \) m, we can calculate the circumference: \[ C = 2\pi(88) \approx 2 \times 3.14159 \times 88 \approx 552.92 \text{ m} \] Rounding to the nearest metre, the distance Phindi has to run to complete one circuit of the track is: \[ \text{Distance} \approx 553 \text{ m} \] ### b) Calculate the number of circuits for 12 km First, we need to convert 12 km to meters: \[ 12 \text{ km} = 12,000 \text{ m} \] Now, we can find out how many circuits Phindi needs to run by dividing the total distance by the circumference of the track: \[ \text{Number of circuits} = \frac{12,000 \text{ m}}{552.92 \text{ m}} \approx 21.7 \] Rounding to one decimal place, Phindi will have to run approximately: \[ \text{Number of circuits} \approx 21.7 \] ### Summary of Answers: a) Phindi has to run approximately **553 m** to complete one circuit of the track. b) She will have to run approximately **21.7 circuits** to cover 12 km.