Write an equation of the circle given its center and radius
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Answer:
y =x² + y² + 2y - 35
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)²+(x-b)² = r²
Where; (a, b) is the center of the circle and r is the radius
Therefore;
(x-0)² +(y+1) = 6²
x²+ y² +2y + 1= 36
x² + y² + 2y - 35 = 0
Therefore; The equation of the circle is y = x² + y² + 2y - 35
Answer:
x²+(y+1)² = 36
Step-by-step explanation:
We have given that
Center = (0,-1) ; Radius = 6
We have to find the equation of circle.
The equation of circle is :
(x-h)²+(y-k)² = r² where (h,k) is the center of circle and r is the radius.
(h,k) =(0,-1) and r = 6
Putting values in above equation, we have
(x-0)²+(y-(-1))² = (6)²
(x)²+(y+1)² = 36
x²+(y+1)² = 36 which is equation of circle.