A circle is centered at (-8, -13) and has a radius of 13. what is the equation of the circle? enter the equation in the box using lower case variables x and y.

(x+8)² + (y+13)² = 169

Step-by-step explanation:

Equation of circle:

(x-h)² + (y-k)² = r²

(h,k) is the centre, r is the radius

(x-(-8))² + (y-(-13))² = 13²

(x+8)² + (y+13)² = 169

the equation of the circle is

(x + 8)² + (y + 13)² = 169

Step-by-step explanation:

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is (-8, -13)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 8 and k = - 13

Radius, r = 13

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 8)² + (y - - 13)² = 13²

(x + 8)² + (y + 13)² = 169

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answer: approximately 206 bones

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