Question

Calcula centro y radio de las siguientes circunferencias x² +y² - 10x 6y - 30 = 0 ​

Answer 1

Explicación paso a paso:

x² + y² + Dx + Ey + F = 0

x² + y² - 10x + 6y - 30 = 0

CENTRO

C (h,k)

h = -D/2 --> -(-10/2) = -(-5) = 5

k = -E/2 --> -(6/2) = - (3) = -3

C (5,-3)

RADIO

r

r = √k² + h² - F

r = √(-3)² + 5² - (-30)

r = √9 + 25 + 30

r = √9 + 55

r = √64

r ≈ 8