Question

The centre of a circle is (3, 4) and it passes through the point (2, 5). What is its radius?

Answer 1

Let the centre of the circle be denoted by point O and the point through which the circle passes be denoted by A.

Given: Coordinates of point O and A are (3, 4) and (2, 5) respectively.

Radius of the circle = Distance between the points O and A

We know that the distance between two points is given by:

D =

Now, OA =

Thus, the radius of the circle is units.