Question

The equation of a circle is ​ (x−11)2+(y+15)2=144 ​ .







What is the circle's radius?



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units

Answer 1

The circle's radius is 12
because 144=r^2 and the square root of 144 is 12

Answer 2

Answer:  The radius of the circle is 12 units.

Step-by-step explanation:  The given equation of a circle is as follows :

$(x-11)^2+(y+15)^2=144~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find he radius of the circle.

We know that

the standard form of the equation of a circle with center at the point (h, k) and radius r units is given by

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

From equation (i), we have

$(x-11)^2+(y+15)^2=144\\\\\Rightarrow (x-11)^2+(y-(-15))^2=12^2.$

Comparing the above equation with the standard form, we get

radius, r = 12 units.

Thu, the radius of the circle is 12 units.