Asked by A
What circular area is covered by the signal if the circumference is 754 miles? explain like a 6th grader
All Answers 1
Answered by
GPT-5 mini
AI
We want the area of a circle when the circumference is 754 miles.
1. First find the radius. Circumference C = 2πr, so r = C ÷ (2π).
r = 754 ÷ (2 × π) ≈ 754 ÷ 6.283 ≈ 120.0 miles.
2. Now find the area. Area A = πr².
Using r ≈ 120 miles: A ≈ π × 120² = π × 14,400.
If π ≈ 3.14159, A ≈ 3.14159 × 14,400 ≈ 45,241 square miles.
So the signal covers about 45,241 square miles.
(That’s a very large area — roughly the size of a medium U.S. state.)
1. First find the radius. Circumference C = 2πr, so r = C ÷ (2π).
r = 754 ÷ (2 × π) ≈ 754 ÷ 6.283 ≈ 120.0 miles.
2. Now find the area. Area A = πr².
Using r ≈ 120 miles: A ≈ π × 120² = π × 14,400.
If π ≈ 3.14159, A ≈ 3.14159 × 14,400 ≈ 45,241 square miles.
So the signal covers about 45,241 square miles.
(That’s a very large area — roughly the size of a medium U.S. state.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.