The points (-2,2) and (5,5) are the end points of the diameter of a circle. Find the length of the radius of the circle

Question

Round to the nearest hundredth as needed 

Answer 1

Hi Bryson from Memphis, TN. Hope you have a great week at school.

Great Geometry/Algebra problem.

You must be working on the Distance Formula for coordinate points.

do you know what the Distance formula is? If you don't here it is:

                    √(x₂ - x₁)² + (y₂ - y₁)²

So let's identify what things you know and what we need to calculate.

          So you know what one endpoint or coordinate points are which is:

                           (-2, 2)  which we can label    (x₁, y₁)

         and we have the other coordinates, 

                            (5, 5)  which we can label    (x₂, y₂)

 Now we we can substitute the values into our Distance Formula. And this gives us What? Your calculations will give you the length or distance of the diameter of the circle. But your problem is to calculate for the radius, which is HALF of the diameter. So, to do that, we do what?

Here is the hint:

                   √(x₂ - x₁)² + (y₂ - y₁)²     =  length of the radius

                                 2

Let me know if you need an other help.

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