A cyclist rides around a circular track with a circumference of $9$ km. The cyclist covers a total distance of $302$ km. We need to find the distance of the cyclist from the starting point.

Applied MathematicsCircular MotionDistanceCircumferenceCalculations
2025/4/11

1. Problem Description

A cyclist rides around a circular track with a circumference of 99 km. The cyclist covers a total distance of 302302 km. We need to find the distance of the cyclist from the starting point.

2. Solution Steps

First, we need to determine how many full laps the cyclist completes.
Divide the total distance covered by the circumference of the track:
302933.55\frac{302}{9} \approx 33.55
The cyclist completes 3333 full laps.
Next, we calculate the remaining distance after the full laps:
302(33×9)=302297=5302 - (33 \times 9) = 302 - 297 = 5
The cyclist has 55 km remaining. Therefore, the distance from the starting point is 55 km.

3. Final Answer

A. 5 km

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