Answer:
(x + 7)² + (y + 2)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 7, - 2) and r = 4
(x - (- 7))² + (y - (- 2))² = 4²
(x + 7)² + (y + 2)² = 16 ← equation of circle
Answer:
x2 + y2 + 14x + 4y -37 =0
Step-by-step explanation:
Equation of a circle in standard form can be written as,
(x-h)2+ (y-k)2 = r2
Here h, k are the coordinates of the centre and r is the radius as centre,
(-7,-2) and r=4
Substituting the values as given in the questions
(x-(-7))2 + (y-(-2))2 = (4)2
Simplying it further,
(x+7)2 + (y+2)2 = 16
x2 +14x+ 49 + y2+ 4y + 4= 16
Equation required
x2 + y2 + 14x + 4y -37 =0
Therefore, the required equation of the circle.
