SOLUTION: find the center and the radius of the circle:
x2 + y2 - 12x-16y-21 =0
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Question 61071: find the center and the radius of the circle:
x2 + y2 - 12x-16y-21 =0
Found 2 solutions by joyofmath, Earlsdon:
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
find the center and the radius of the circle:
Add 36 to both sides:
Rewrite x-expression:
Add 64 to both sides:
Rewrite y-expression:
Add 21 to both sides:
The center of the circle is (6,8).
The radius = .
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Find the centre and radius of the circle:
First, add 21 to both sides.
Now group the x-terms together and the y-terms together.
Next, complete the square in x by adding the square of half the x-coefficient to both sides of the equation. , and the same for the y
Simplify.
Factor the x-group and the y-group.
Take the square root of 121 = 11
Compare with the standard form for a circle with centre at (h, k) and radius, r.
The circle centre is at (6, 8) and the radius is 11
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