Final answer:
To find the circumference of a circle, we can use the formula C = 2πr. By rearranging the formula for the area of a circle, we can find the radius. Plugging in the radius, we can calculate the circumference.
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 of the circle. In this case, we are given the area of the circle, which is 1,962.5 units². We can use the formula for the area of the circle, A = πr², to find the radius. Rearranging the formula, we get r = √(A/π). Plugging in the given area, we get r = √(1962.5/3.14) ≈ 24.964.
Now that we have the radius, we can calculate the circumference using the formula C = 2πr. Plugging in the value of r, we get C = 2 × 3.14 × 24.964 ≈ 156.701.
The circumference of the circle is approximately 156.701 units.