Question

The equation of a circle is (x−9)2+(y−12)2=116. Which is the radius of the circle to the nearest tenth of a unit?

Answer 1

radius of the circle is 10.8

Explanation:

The equation of a circle is
`(x-9)^2+(y-12)^2=116`

the standard form of equation of a circle is

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

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

From the given equation , the value of r^2 is 116

`r^2=116`

To find out 'r' , take square root on both sides

`√(r^2) =√(116)`

To find square root use calculator

`r=10.8`

so radius of the circle is 10.8