What is the center? (X-0.5) ^2 + (y-3.5) ^2=16

(.5,3.5) is the center and 4 is the radius

Step-by-step explanation:

(X-0.5) ^2 + (y-3.5) ^2=16

This is written in the form

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

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

(X-0.5) ^2 + (y-3.5) ^2=4^2

(.5,3.5) is the center and 4 is the radius

center = (0.5, 3.5)

Step-by-step explanation:

An equation of a circle is given by the general equation;

(x-a) ² + (y-b) ² = r²

Where (a, b) is the center of the circle and r is the radius of the circle.

Relating the general equation with the equation given;

(x - 0.5) ² + (y - 3.5) ² = 16 with (x-a) ² + (y-b) ² = r²

then, a = 0.5, b = 3.5 and r = 4 units

Thus, the center is (0.5, 3.5)