Write an equation of a circle with the given center and radius center (-7, -6) and radius 2

Solution:

The standard form of the equation of a circle is given by

(x - a)2 + (y - b)2 = r2

Where a and b are the coordinates of the center

and r is the radius

equation of a circle with the given center and radius center (-7, -6) and radius 2

Given, center = (-7, -6)

Radius, r = 2.

Substituting the values in standard form of equation we get,

(x - (-7))2 + (y - (-6))2 = 22

(x + 7)2 + (y + 6)2 = 4

Therefore, the equation of the circle is (x + 7)2 + (y + 6)2 = 4.

Write an equation of a circle with the given center and radius center (-7, -6) and radius 2

Summary:

The equation of a circle with the center (-7, -6) and radius = 2 is (x + 7)2 + (y + 6)2 = 4.

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