Final answer:
The approximate circumference of the circle is 25.12 units.
Step-by-step explanation:
To find the circumference of the circle, we need to find the distance between the center of the circle at (2, 1) and the point on the circle at (2, 5). This distance is equal to the radius of the circle. Let's calculate it:
Using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
d = √((2 - 2)^2 + (5 - 1)^2) = √(0 + 16) = √16 = 4
So, the radius of the circle is 4 units. The formula for the circumference of a circle is C = 2πr. Substituting r = 4, we get:
C = 2π(4) = 8π
Since we are looking for an approximate circumference, we can use the value of π as 3.14. Therefore, the approximate circumference of the circle is:
C ≈ 8(3.14) = 25.12 units.