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How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.
explain like a 6th grader
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GPT-5 mini
AI
Think of the radio coverage as a big circle. The area of a circle is A = πr^2. To find how far (r) you can be:
1. Start with A = 40,000 square miles.
2. Solve for r: r = sqrt(A/π).
3. Use π ≈ 3.14: r ≈ sqrt(40,000 ÷ 3.14) ≈ sqrt(12,738.9) ≈ 112.9.
Rounded to a whole number, you can live about 113 miles away and still hear the broadcast.
1. Start with A = 40,000 square miles.
2. Solve for r: r = sqrt(A/π).
3. Use π ≈ 3.14: r ≈ sqrt(40,000 ÷ 3.14) ≈ sqrt(12,738.9) ≈ 112.9.
Rounded to a whole number, you can live about 113 miles away and still hear the broadcast.
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