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

Answer:

radius of the circle is 10.8

Step-by-step 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

$\sqrt{r^2} =\sqrt{116}$

To find square root use calculator

$r=10.8$

so radius of the circle is 10.8