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10. A circular track has a diameter of 40 feet. If cones are placed about every 5 feet along the edge, how many cones will be required? Round to the nearest whole number. You will need

Ask by Perkins Bartlett. in the United States
Feb 21,2025

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25 cones are required.

Solution

The diameter of the circular track is 40 feet, so the circumference is calculated by the formula:   Circumference = π × diameter = π × 40 = 40π feet. Since the cones are placed every 5 feet along the edge, the number of cones needed is:   40π / 5 = 8π Approximating π as 3.14:   8π ≈ 8 × 3.14 = 25.12 Rounding to the nearest whole number gives 25 cones.

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To find out how many cones are needed, we first need to determine the circumference of the circular track. The circumference \( C \) can be calculated using the formula \( C = \pi \times d \), where \( d \) is the diameter. In this case, with a diameter of 40 feet, the circumference is approximately \( 125.66 \) feet (using \( \pi \approx 3.14 \)). Dividing this by the distance between the cones (5 feet) gives us \( 125.66 \div 5 \approx 25.13 \). Rounding to the nearest whole number, you would need about 25 cones. Since you're rounding, don't forget that sometimes in real-life scenarios, rounding rules can change based on the context of the problem—just imagine you're setting down cones at a party and want to ensure everyone has enough space to cheer on the racers! Planning ahead is key!

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