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Difficulty: EasyCircular Area and Circumference Applications

A circular helicopter landing pad has a radius of 2020 feet. A reflective border needs to be painted exactly along its outer edge. What is the total length of the painted border? (Use π=3.14\pi = 3.14)

  1. 125.6125.6 feetAnswer
  2. B
    62.862.8 feet
  3. C
    1,2561,256 feet
  4. D
    12.5612.56 feet

Answer

125.6125.6 feet
The total length of the border around the outside of a circle is its circumference. Because the radius is provided as 2020 feet, we use the formula C=2πrC = 2\pi r. Substituting the given values, we get 2×3.14×20=125.62 \times 3.14 \times 20 = 125.6 feet.

Step-by-Step Solution

1
Identify the correct geometric property to calculate.
Circumference is needed.
The painted border goes along the 'outer edge' of the circular pad, which corresponds to the circumference.
2
Select the appropriate formula for circumference.
C=2πrC = 2\pi r
The radius (rr) is given in the problem.
3
Substitute the given values and calculate.
C=2×3.14×20=125.6C = 2 \times 3.14 \times 20 = 125.6 feet.
This yields the total length of the border needed.

Key Concept

Calculating the circumference of a circle given its radius for a real-world application.
Estimated Time:45s
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Topics

Circular Area and Circumference Applications

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