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ÇÑ Á¡À» Áö³ª°í x Ãà°ú y Ãà¿¡ µ¿½Ã¿¡ Á¢ÇÏ´Â ¿øÀÇ ¹æÁ¤½Ä(equation of a circle)

ÀÛ¼ºÀÚ Uploader : airun ÀÛ¼ºÀÏ Upload Date: 2019-10-24º¯°æÀÏ Update Date: 2022-05-01Á¶È¸¼ö View : 1452

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¿øÀÇ ¹æÁ¤½Ä ±âº»ÇüÀº ´ÙÀ½°ú °°´Ù.

(x-a)^2 + (y-b)^2 = r^2

À̶§, ¿øÀÇ Áß½ÉÁÂÇ¥´Â (a, b) °¡ µÇ°í ¹ÝÁö¸§Àº r ÀÌ µÈ´Ù.

x Ãà°ú y Ãà¿¡ µ¿½Ã¿¡ Á¢ÇϹǷÎ,1 »çºÐ¸é¿¡¼­, a = b = r ÀÌ°í, ±âº» ¹æÁ¤½ÄÀº ´ÙÀ½°ú °°ÀÌ ¾µ ¼ö ÀÖ´Ù.

(x-a)^2 + (y-a)^2 = a^2

¶ÇÇÑ, ÇÑ Á¡ P(x1, y1) À» Áö³ª¹Ç·Î,

(x1-a)^2 + (y1-a)^2 = a^2

ÀÌ µÈ´Ù.

À̸¦ Á¤¸®Çϸé,

x1^2 - 2ax1 + a^2 + y1^2 - 2ay1 + a^2 = a^2

a^2 - 2a(x1+y1) + x1^2 + y1^2 = 0

a = (1/2)*(2*(x1+y1)¡¾(4(x1+y1)^2-4*(x1^2+y1^2))^(1/2))

  = (x1+y1)¡¾((x1+y1)^2-(x1^2+y1^2))^(1/2)

°¡ µÈ´Ù.

2 »çºÐ¸é¿¡¼­´Â a = -b = -r, 3 »çºÐ¸é¿¡¼­´Â a = b = -r, 4 »çºÐ¸é¿¡¼­´Â a = -b = r ÀÇ Á¶°ÇÀ¸·Î Ç®¾î¾ß ÇÑ´Ù.
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