The diameter of a circle has endpoints (–3, –10) and (4, –6). What is the equation of the circle?
2 answers:
Answer:
B) (x-1/2)^2 + (y+8)^2 = 65/4
Step-by-step explanation:
Edge 2020
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
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