Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle?

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

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step-by-step explanation: