Could somebody please help me solve this?

enter image source here

2 Answers
Apr 23, 2018

A. 15 units
B. (-12,-3)

Explanation:

This equation is in the form (x-h)^2+(y-k)^2=r^2 where (h,k) are the coordinates of the center of the circle and r is the radius of the circle. Therefore, for A:

r^2=225 Square root both sides:
r=+-15 Distance cannot be negative, so:
A. r=15 units

For B:
(h,k) equals
B. (-12,-3) using the form above.

Apr 23, 2018

The equation of a circle is given by (x−a)^2+(y−b)^2=r^2,
wherer is the radius, and (a,b) are the coordinates of the center.

Therefore, comparing the corresponding terms,

r^2 = 225
=>"Radius ", r = sqrt225 =15" units"

and,
"Centre would be at "O=(−12,-3)