The center of the circle shown below is at (5,4). a point on the circle is at (12,15). what is the radius of this circle? round the answer to the nearest tenth of a unit. a. 10.0 units b. 11.0 units c. 12.0 units d.. 13.0 units

The correct option is D. 13.0 unit

Therefore the Radius of a Circle is 13.0 unit (nearest tenth of a unit)

Step-by-step explanation:

Given:

Let C be the center of a Circle

C = (x₁ , y₁) = ( 5 , 4)

Let A be the point on a Circle

A = (x₂ , y₂) = ( 12 , 15)

To Find:

Radius, CA = ?

Solution:

Radius :

The radius of a circle is the distance from the center of the circle to any point on its Circle.

So By Distance Formula Between Two point is given as

Substituting the values we get

Therefore the Radius of a Circle is 13.0 unit