SOLUTION: Establish the equation of a circular object whose radius equals 6 centimetres and centre's coordinates are (3, 2). A - x2 + y2 + 6x + 4y = 23 B - x2 + y2 - 6x + 4y = 23 C -

Algebra ->  Equations -> SOLUTION: Establish the equation of a circular object whose radius equals 6 centimetres and centre's coordinates are (3, 2). A - x2 + y2 + 6x + 4y = 23 B - x2 + y2 - 6x + 4y = 23 C -      Log On


   

Question 768547: Establish the equation of a circular object whose radius equals 6 centimetres and centre's coordinates are (3, 2).
A - x2 + y2 + 6x + 4y = 23
B - x2 + y2 - 6x + 4y = 23
C - x2 + y2 + 6x - 4y = 23
D - x2 + y2 - 6x - 4y = 23

Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!


Establish the equation of a circular object whose radius equals 6 centimetres and centre's coordinates are (3, 2).



Equation for a circle with radius r and centre at (a,b) is given by

%28x+-+a%29%5E2+%2B+%28y+-+b%29%5E2+=+r%5E2



Here, a = 3, b = 2, r = 6

Just substitute in the above formula to get the equation.



%28x+-+3%29%5E2+%2B+%28y+-+2%29%5E2+=+6%5E2+=+36



Expand the left hand side and simplify, to check which of the choices is correct.



Hope it is clear :)