Final answer:
To find the radius of the circle with area 24 ft², use the formula A = πr² and solve for r to get approximately 2.76 ft. The circumference is then calculated using C = 2πr to get approximately 17.33 ft.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where A is the area and r is the radius of the circle. Given the area of a circle is 24 ft², we can solve for the radius as follows:
- Find the radius using the area formula: A = πr² → 24 = 3.1415927 × r².
- Solve for r²: r² = 24 / π.
- Calculate the radius: r = √(24 / π) → r ≈ 2.76 ft (to two decimal places).
Once the radius is found, we can calculate the circumference using the formula C = 2πr:
- C = 2 × 3.1415927 × 2.76 ft → C ≈ 17.33 ft (to two decimal places).