Final answer:
To find the circumference of a circle given the area, you would first need to find the radius by using the formula A = πr^2. Then, you can use the formula C = 2πr to find the circumference. The closest option for the circumference of the given circle is a) 41π.
Step-by-step explanation:
To find the circumference of a circle, we can use the formula C = 2πr, where C is the circumference and r is the radius. Given that the area of the circle is 161, we need to find the radius first. The formula for the area of a circle is A = πr^2. We can rearrange this formula to solve for r: r = √(A/π). Substituting the given area into the equation, we get r = √(161/π) ≈ 7.19 (rounded to two decimal places). Now we can find the circumference using the formula C = 2πr: C ≈ 2π × 7.19 ≈ 45.24 (rounded to two decimal places). Therefore, the closest option is a) 41π.