Question

(x-13.4)^2+(y+2.6)^2=100

What is its center?

(_____,_____)

What is its radius?

_____units

Answer 1

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
`r` 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`