Final answer:
To find the circumference of a circle with an area of 120 square inches (in²), you can use the formula C = 2πr, rearranging the formula for area to solve for the radius first.
Step-by-step explanation:
To find the circumference of a circle, you can use the formula C = 2πr, where C is the circumference and r is the radius. In this case, the area of the circle is given as 120 in². The formula for the area of a circle is A = πr². We can rearrange this formula to solve for the radius: r = √(A/π). Plugging in the given area, we get r ≈ √(120/π). Using the approximate value for π as 3.14, we can find the radius as r ≈ √(120/3.14) ≈ √(38.2166) ≈ 6.18. Finally, we can use the formula for circumference to find C ≈ 2π(6.18) ≈ 38.78 inches.