Question

The equation of a circle with a center point of (-4,1) and radius of 3 units is


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Answer 1

Answer :

(x + 4) ² + (y - 1) ² = 9 or x² + y² + 8x - 2y +8 = 0

DISCUSSION :

The circle with center (a, b) and radius r has the form of an equation:

(x - a )² + (y - b )² = r²

↓↓↓↓↓↓

Known :

center point = (-4, 1)

r = 3 units

Asked: Circle equation?

Explanation:

Equation of a circle with a center point (-4, 1) and radius of 3 units:

1. The first method is in the standard form

(x + 4 )² + (y - 1) ² = 3²

(x + 4) ² + (y - 1) ² = 9

2. The second method is in general form

x² + 8x + 16 + y² - 2y + 1 - 9 = 0

x² +² + 8x - 2y + 8 = 0

Answer 2

hope this helps you☺️☺️