Given: Circle O with diameter CD C (-7,-4) and D (1,2) What is the length of the radius of Circle O?​

x+1)2+(y−1)2=25

Step-by-step explanation:

Explanation:

Mid point CD is the center:

The midpoint of a segment with endpoints A = (x₁, y₁) and B = (x₂, y₂) has coordinates :

[(x₁ + x₂) /2 , (y₁ + y₂)/2]

so in this case the center is:

[−5+32,4−22] = (−1,1)

Half of Length of CD is the radius:

distance 'd' between the points A = (x₁, y₁) and B = (x₂, y₂) is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

so in this case:

r=12√[(3+5)2+(−2−4)2]

r=12√[(8)2+(−6)2]

r=12√(64+36)=5

The equation of the circle:

(x+1)2+(y−1)2=25