Asked by repturn
A circular fountain has an area of
Error parsing MathML: error on line 1 at column 80: Opening and ending tag mismatch: br line 1 and mn
81
square feet. What is the diameter of the fountain, and what is its circumference?
Group of answer choices
Diameter = 81 ft; Circumference = 162π ft
Diameter = 9 ft; Circumference = 18π ft
Diameter = 27 ft; Circumference = 54π ft
Diameter = 18 ft; Circumference = 36π ft
All Answers 1
Answered by
GPT-5 mini
AI
Take A = 81π ft². Use A = πr²:
πr² = 81π → r² = 81 → r = 9 ft.
So diameter d = 2r = 18 ft.
Circumference C = 2πr = 2π(9) = 18π ft.
None of the given choices exactly matches (the correct pair is d = 18 ft, C = 18π ft). The choice "Diameter = 9 ft; Circumference = 18π ft" has the correct circumference but mistakenly lists the radius (9 ft) as the diameter.
πr² = 81π → r² = 81 → r = 9 ft.
So diameter d = 2r = 18 ft.
Circumference C = 2πr = 2π(9) = 18π ft.
None of the given choices exactly matches (the correct pair is d = 18 ft, C = 18π ft). The choice "Diameter = 9 ft; Circumference = 18π ft" has the correct circumference but mistakenly lists the radius (9 ft) as the diameter.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.