Question

Find the equation of a circle with a center at (7, 2) and a point on the circle at (-2, -5).

Answer 1

Answer:

(x-7)^2 + (y-2) ^2 = 130

Step-by-step explanation:

We need to find the length of the radius

the length of the radius is found by using the distance formula

r = sqrt(  ( -2-7)^2+( -5 -2)^2)

    sqrt(  ( -9)^2+( -7)^2)

    sqrt( 81+49)

    sqrt(130)

The formula for a circle is

(x-h)^2 + (y-h) ^2 = r^2

where (h,k) is the center and r is the radius

(x-7)^2 + (y-2) ^2 = 130