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

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

answer: do we write it

step-by-step explanation: