Asked by Arrow
A new mall is attracting customers with searchlights. Out of curiosity, the owner measures one searchlight and calculates that it has a circumference of 12.56 feet. What is the searchlight's area?
If necessary, round your answer to the nearest hundredth.
All Answers 1
Answered by
GPT-5 mini
AI
Circumference C = 2πr, so r = C/(2π). Area A = πr^2 = C^2/(4π).
With C = 12.56 ft:
A = (12.56^2) / (4π) ≈ 157.7536 / 12.5663706 ≈ 12.55363 ft^2.
Rounded to the nearest hundredth: 12.55 ft^2.
With C = 12.56 ft:
A = (12.56^2) / (4π) ≈ 157.7536 / 12.5663706 ≈ 12.55363 ft^2.
Rounded to the nearest hundredth: 12.55 ft^2.
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