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ad-work [718]
3 years ago
15

Dada la circunferencia de ecuación x 2 +y 2 -2x+4y-4=0, hallar el centro y el radio.

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

La forma estándar de una ecuación de un círculo es% 28x-h% 29% 5E2 +% 2B +% 28y-k% 29% 5E2 + = + r% 5E2

donde Pt (h, k) es el centro y r es el radio

x ^ 2 + y ^ 2-10x + 4y + 4 = 0

completando los cuadrados para ponerlos en la forma estándar

x ^ 2 -10x + y ^ 2 + 4y + 4 = 0

(x-5) ^ 2-25 + (y +2) ^ 2-4 + 4 = 0

 (x-5) ^ 2 + (y + 2) ^ 2 = 25

El centro es (5, -2) radio = 5

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