2. Phindi is an athlete. As part of her training, she runs around the outside of a circular track that has a 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 circuits of the track will she have to run? Give your answer to one decimal place.

a) To find the distance Phindi has to run to complete one circuit of the track, we need to calculate the circumference of the circular track. The formula for the circumference of a circle is given by: \[ C = 2\pi r \] where \( r \) is the radius of the circle. Given that the radius of the track is 88 m, we can substitute this value into the formula to find the circumference: \[ C = 2\pi \times 88 \] Now, we can calculate the circumference using the formula: \[ C = 2\pi \times 88 \] Let's calculate the circumference. Calculate the value by following steps: - step0: Calculate: \(2\pi \times 88\) - step1: Multiply the terms: \(176\pi \) The circumference of the circular track is approximately 552.92 meters. Therefore, Phindi has to run approximately 553 meters to complete one circuit of the track. b) To find out how many circuits of the track Phindi will have to run to cover 12 km, we need to convert 12 km to meters and then divide by the circumference of the track. Given that 1 km is equal to 1000 meters, 12 km is equal to 12,000 meters. Now, we can calculate the number of circuits Phindi will have to run by dividing the total distance by the circumference of the track: \[ \text{Number of circuits} = \frac{12000}{552.92} \] Let's calculate the number of circuits. Calculate the value by following steps: - step0: Calculate: \(\frac{12000}{552.92}\) - step1: Convert the expressions: \(\frac{12000}{\frac{13823}{25}}\) - step2: Multiply by the reciprocal: \(12000\times \frac{25}{13823}\) - step3: Multiply: \(\frac{12000\times 25}{13823}\) - step4: Multiply: \(\frac{300000}{13823}\) Phindi will have to run approximately 21.7 circuits of the track to cover 12 km.