Question

The diameter of a circle has endpoints (–3, –10) and (4, –6). What is the equation of the circle?

Answer 1

Answer:

B) (x-1/2)^2 + (y+8)^2 = 65/4

Step-by-step explanation:

Edge 2020

Answer 2

Answer:

The center of the circle is midpoint of the diameter:

The radius is equal the distance between C and Q:

An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center

r - a radius

r = √65; (-3; 2) ⇒ a = -3 and b = 2

subtitute

(x - (-3))² + (y - 2)² = (√65)²

Answer:

the center: (-3; 2)

the radius: √65

the equation of the circle: (x + 3)² + (y - 2)² = 65