Answer:
Centre = (-2,7) B
radius = 6
Explanation:
The general formula for finding the equation of a circle is expressed as shown:
(x-h)²+(y-k)² = r² where (a,b) is the centre and r is the radius of the circle
Given the equation of the circle C in question (x+2)²+(y−7)²=36. We will compare the given equation to the general equation.
On comparison;
-h = 2
h = -2
-k = -7
k = 7
r² = 36
r = √36
r = ±6
From the answers gotten, it can be inferred that the centre of the circle (h,k) is (-2,7) and the radius of the circle is 6.
Radius of a circle cannot be a negative value so we will ignore the negative value of 6.