how do you find the diameter when you have the lengths of the radius A(-1,3) B(2,2)

Answer 1

The diameter is twice as long as the radius so figure out what the length of the radius is and then double it. It's a little hard to tell what's going on with the information you provided but I'm assuming one of those points is the circle center and the other is on the circle so that the radius endpoints are A(-1,3) and B(2,2). If so, the length of the radius is determined by using the distance formula

d = sqrt[x₁-x₂)² + (y₁-y₂)²] so,

d = sqrt[(-1-2)² + (3 - 2)²]

d = sqrt[(-3)² + 1²]

d = sqrt(9 + 1]

d = √10

So, the radius is √10 units long

That means the diameter is 2√10 units long. (which is approx 6.32 units long)