Find the radius of the circle whose equation is (x² - 10x + 25) + (y² - 16y + 64) = 16. 4 8 16

Radius of circle is 4

Step-by-step explanation:

The standard equation of circle is

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

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

We are given:

(x² - 10x + 25) + (y² - 16y + 64) = 16

we know that a^2-2ab+b^2 = (a-b) ^2

Using the above formula and converting the given equation into standard form, we get:

(x-5) ^2 + (y-8) ^2 = (4) ^2

So, radius of circle is 4.

20x + 25 (y - 16y+64) = 16