(x-13.4)^2+(y+2.6)^2=100 What is its center? (___,_) What is its radius? ___units

Question

asked Dec 19, 2021 11.0k views

1 Answer

Jasper Schulte · Answer 1 · 2021-12-24T07:30:47+0000

Answer:radius =10 units

Explanation:

Given

Equation of circle is given by

$(x-13.4)^2+(y+2.6)^2=100\quad \ldots(i)$

Now general equation of circle with center
(h,k) with radius
is given by

$(x-h)^2+(y-k)^2=r^2\quad \ldots(ii)$

Comparing
(i) and
(ii) we get

h=13.4

k=-2.6

r=10

Thus center is
(13.4,-2.6)

and radius
$r =10\ units$