Question

Write the standard equation of a circle with center (-4,0) and radius 3.

Answer 1

(x+4)^2 + y^2 = 9

Answer 2

The correct answer is first option

(x + 4)² + y² = 9

Explanation:

Formula:-

Let (x₁, y₁) and 'r' be the radius of a circle the equation of the circle is given by

(x - x₁)² + (y - y₁)² = r²

To find the equation of the circle

Here (x₁, y₁) = (-4, 0) and r = 3

we have,

(x - x₁)² + (y - y₁)² = r²

(x - -4)² + (y - 0)² = 3²

(x + 4)² + y² = 9

Therefore the equation of the given circle is (x + 4)² + y² = 9

The correct answer is first option