Question

¿ Cuál es la ecuación de la circunferencia que pasa por punto (-4,2) y

su diámetro es 8 ?

Porfaaaa

Answer 1

(x+4)² + (y-k) ² = 16

Explanation:

The equation of the circumference is expressed as;

(x-h) ² + (y-k) ² = r²

(h,k) is the centre

r is the radius

Given that diameter = 8

radius = 8/2

radius = 4units

Given that h = -4 and k = 2

(x-h) ² + (y-k) ² = r²

(x-(-4)) ² + (y-2) ² = 4²

(x+4)² + (y-k) ² = 16

This gives the required equation