Answer :
9π square feet
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The circumference of a circle is given by the formula:
- C = 2πr, where r is the radius
In this case, if the circumference is 6π ft, then:
- 6π = 2πr
Solving for r gives:
- r = 3 ft
The area of a circle is given by the formula:
- A = πr²
Substituting the radius we found earlier (r = 3 ft) into the formula gives the area as:
- A = π(3)² = 9π square feet
Therefore, the area of the circle is 9π square feet.
