Question

what is the radius of this circle?

Explanation:

Step1: Identify the center and a point on the circle

The center of the circle is at (7, 0) (since it's on the x - axis, halfway between 6 and 8). A point on the circle is at (8, 0) (or (6, 0)).

Step2: Calculate the distance between the center and the point (radius)

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 7,y_1 = 0,x_2 = 8,y_2 = 0\). So \(d=\sqrt{(8 - 7)^2+(0 - 0)^2}=\sqrt{1 + 0}=1\). Alternatively, since it's on the x - axis, we can just find the absolute difference between the x - coordinates: \(|8 - 7|=1\) (or \(|7 - 6| = 1\)).

Answer:

1