Answer:
The equation that represents the circle is +
= 13
Step-by-step explanation:
Given the center of circle (14,9) passes through point (16,12)
We know that the equation of circle is
+
=
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
From given data (x,y) is (16,12) and (h,k) is (14,9). Substituting these values in equation of circle, we get
+
=
=
+
= 13
Substituting the values of (h,K) and as (14,9) and 13 respectively in equation of circle, we get
+
= 13
Hence the equation that represents the circle is +
= 13