Question

The center of a circle is at (2, −3) on a coordinate plane. The edge of the circle goes through the point (2, −7).

What is the circumference of the circle?

Answer 1

We first need to find the radius of the circle. The radius is the distance between the center and any point on the edge of the circle. In this case, we can use the distance formula to find the distance between the center (2, -3) and the point on the edge (2, -7):

radius = sqrt((2-2)^2 + (-7-(-3))^2)
radius = sqrt(16)
radius = 4

Now that we know the radius is 4 units, we can use the formula for the circumference of a circle:

circumference = 2 x pi x radius

circumference = 2 x 3.14 x 4

circumference = 25.12

Therefore, the circumference of the circle is approximately 25.12 units