Question

A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?

Answer 1

5

Explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition. Using the distance formula will give us the radius.

`\sqrt{(x \text{ difference })^2+(y \text{ difference})^2`

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

`√(4^2+3^2)`

`√(16+9)`

`√(25)`

`5`