The center of the circle is the midpoint of the points or ((-4+6)/2,(-3+3)/2)=(1,0). Now, the diameter is the distance between the points. Using distance formulas (or noticing that the y-values are the same so it is a horizontal line), the distance is 10. Therefore, the radius is 5. The equation of a circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center. Therefore, the equation is (x-1)^2+(y-0)^2=5^2.
The answer is attached
Step-by-step explanation:
If this answer helped you then please consider making this brainliest and thank this response :)
I suppose the curve is
.
Tangent lines to the curve have slope
; use the chain rule to get this in polar coordinates.

We have




The tangent line is horizontal when the slope is 0, which happens wherever the numerator vanishes:


(where
is any integer)
The tangent line is vertical when the slope is infinite or undefined, which happens when the denominator is 0:

