Question

which equation represents a circle with centerT(5,-1) and a radius of 16 units?

Answer 1

Answer: $(x-5)^2+(y+1)^2=r^2$

Step-by-step explanation:

The area of a circle having radius r and center (h,k) is given by :-

$(x-h)^2+(y-k)^2=r^2$   (i)

We have given that, Center of the Circle = T ( 5,-1)

Radius = 16 units

Substitute these values in (i) , we get

$(x-5)^2+(y-(-1))^2=(16)^2\\\\\Rightarrow\ (x-5)^2+(y+1)^2=256$

Hence, the equation represents a circle with centerT(5,-1) and a radius of 16 units would be $(x-5)^2+(y+1)^2=256$.