If the center is at (-3, -4) and the origin is on the circle, then the radius of the circle is the distance between the origin and (-3, -4).
R² = (-3)² + (-4)² R² = 9 + 16 R² = 25 R = 5
The equation of the circle is [ (x + 3)² + (y + 4)² = 25 ].
e q u a t i o n o f t h e c i rc l e : ( x − a ) 2 + ( y − b ) 2 = r 2 ( a ; b ) i s a ce n er o f t h e c i rc l e ( a ; b ) = ( − 3 ; − 4 ) r − r a d i u s o f t h e c i rc l e r = ( − 3 ) 2 + ( − 4 ) 2 = 9 + 16 = 25 = 5 A n s w er : ( x + 3 ) 2 + ( y + 4 ) 2 = 5 2 → ( x + 3 ) 2 + ( y + 4 ) 2 = 25
The equation of the circle with center at (-3, -4) passing through the origin is ( x + 3 ) 2 + ( y + 4 ) 2 = 25 . The radius of the circle is calculated to be 5, making this equation complete. This standard form represents all points equidistant from the center point.
;
Penjelasan dengan langkah-langkah:68000 + 99000 + 417000 + 55000 + 1500012000 + 16000 = 1500667000sepertinya ada kekeliruan pada soal, jika pertanyaannya68000 + 99000 + 417000 + 55000 + 15000 + 12000 + 16000= 682.000