Question

Find the radius of the circle if the center is at (1, 2) and the point (-5, 6) lies on the circle.

On a coordinate plane, a circle has center point (1, 2). A point on the circle is at (negative 5, 6).

Answer 1

9514 1404 393

Answer:

2√13

Explanation:

The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:

d = √((x2 -x1)² +(y2 -y1)²)

d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52

d = 2√13

The radius of the circle is 2√13.