Question

If a circle is centered at (5, -7) and goes through the point (10, 5), what is the radius?

Answer 1

The radius of the circle is 13 units.

Step-by-step explanation:

To find the radius of the circle, we can use the distance formula between the center of the circle and the given point on the circle. The distance formula is:

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

In this case, the center of the circle is (5, -7) and the given point on the circle is (10, 5). Plugging these values into the distance formula, we get:

Distance = sqrt((10 - 5)^2 + (5 - (-7))^2)

= sqrt(25 + 144)

= sqrt(169)

= 13

Therefore, the radius of the circle is 13 units.