Question

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

The equation of this circle is (x +_____)2 + (y +____)2 =_____ .

Answer 1

The answer to your question is:

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

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