Question

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

Answer 1

Answer:

The answer to your question is:

             (x - 5)² + (y + 4)² = 10²     or         (x - 5)² + (y + 4)² = 100

Step-by-step explanation:

Data

Center (5, - 4)

Point ( -3 , 2)

Formula

d = √ ((x2- x1)² + (y2 - y1)²)

(x - h)² + (y - k)² = r²

Process

Radius

d = √ ((-3 - 5)² + (2 + 4)²)

d = √ ((-8)² + (6)²)

d = √ 64 + 36

d = √100

d = 10 units

Circle

                           (x - 5)² + (y + 4)² = 10²

                             (x - 5)² + (y + 4)² = 100