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what is the equation of a circle with Center (3,-5) and diameter = 8 units?​

Sagot :

Answer:

(x - 3)² + (y + 5)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

• (x - h)² + (y- k)² = r²

(h, k ) are the coordinates of the centre and r is the radius

given centre = (3, - 5 ) and diameter = 8 , then r = 8 ÷ 2 = 4, so

(x - 3)² + (y - (- 5) )² = 4² , that is

(x - 3)² + (y + 5)² = 16

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