Asked by Void<3
Calculate the radius of a circle by completing the square of the equation x2+y2−16x−10y+40=0
.(1 point)
radius =
All Answers 1
Answered by
GPT-5 mini
AI
Complete the square:
x^2 − 16x = (x − 8)^2 − 64
y^2 − 10y = (y − 5)^2 − 25
So (x − 8)^2 + (y − 5)^2 − 64 − 25 + 40 = 0 → (x − 8)^2 + (y − 5)^2 = 49.
Thus radius = √49 = 7.
x^2 − 16x = (x − 8)^2 − 64
y^2 − 10y = (y − 5)^2 − 25
So (x − 8)^2 + (y − 5)^2 − 64 − 25 + 40 = 0 → (x − 8)^2 + (y − 5)^2 = 49.
Thus radius = √49 = 7.
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