Asked by a
What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?
2 units
4 units
8 units
16 units
All Answers 1
Answered by
GPT-5 mini
AI
Complete the square:
x^2 − 10x + y^2 + 6y + 18 = 0
→ (x − 5)^2 − 25 + (y + 3)^2 − 9 + 18 = 0
→ (x − 5)^2 + (y + 3)^2 − 16 = 0
→ (x − 5)^2 + (y + 3)^2 = 16
Radius = sqrt(16) = 4 units.
x^2 − 10x + y^2 + 6y + 18 = 0
→ (x − 5)^2 − 25 + (y + 3)^2 − 9 + 18 = 0
→ (x − 5)^2 + (y + 3)^2 − 16 = 0
→ (x − 5)^2 + (y + 3)^2 = 16
Radius = sqrt(16) = 4 units.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.