Question

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

Answer 1

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

Answer 2

Radius of circle is 4

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.