a circle has a center (3,5). the point (3,8) is on the circle. What is the circumference of the circle to the nearest unit?

well, the distance between those points is the radius of the circle.

how do you solve this step by step im stuck

To find the circumference of a circle, you need to know its radius or diameter. In this case, we can find the radius of the circle by calculating the distance between the center of the circle (3,5) and the point on the circle (3,8).

The distance formula between two points (x₁, y₁) and (x₂, y₂) is:

Distance = sqrt((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the distances can be calculated as follows:

Distance = sqrt((3 - 3)² + (8 - 5)²)
= sqrt(0² + 3²)
= sqrt(0 + 9)
= sqrt(9)
= 3

Therefore, the radius of the circle is 3 units.

The circumference of a circle is given by the formula:

Circumference = 2 * π * radius

Plugging in the value of the radius as 3:

Circumference = 2 * π * 3

Now, to get the value of π (pi), we can use either the exact value (3.14159...) or approximate it as 3.14 for simplicity.

Circumference ≈ 2 * 3.14 * 3
= 18.84 units

Rounding to the nearest unit, the circumference of the circle is approximately 19 units.