SOLUTION: Given the equation of the circle is {{{x^2-4x+y^2-6y=3}}}. Find the equation of the circle in the form{{{(x-a)^2+(y-b)^2=r^2}}}. Hence find out the centre, area and circumference o

Question 975231: Given the equation of the circle is . Find the equation of the circle in the form. Hence find out the centre, area and circumference of the circle.
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given the equation of the circle is .
x^2-4x + 4 + y^2-6y+9 = 3 +4+9
--------
(x-2)^ + (y-3)^2 = 16
----------
Find the equation of the circle in the form.
===========
Hence find out the
centre:: (2,3)
-------
area = pi*4^2 = 16pi square units
-------
circumference of the circle = 2*pi*4 = 8pi units
-----------
Cheers,
Stan H.
-----------

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
in form
......complete squares

so, , , and
the center is at (,)

RELATED QUESTIONS
The line with equation 4x+5y=7 is a tangent to a circle of radius r. Find the radius r if (answered by Alan3354)
The equation of a circle hr in the form (x -a)^2+(y -b)^2 = r^2 circle hr centred at (6,... (answered by josgarithmetic)
Write the standard equation of a circle with each given radius and center. 1. r = 4;... (answered by ewatrrr)
Hi Guys, really struggling with this question. Given the Cartesian equation of a... (answered by ewatrrr)
Write the equation of the tangent line. Please put your answer in the form y=mx+b. The... (answered by richwmiller)
1.find the equation of the circle w/ center (1, 4) and radius 5. 2.find the equation of... (answered by Fombitz)
find the circle and radius of circle given equation... (answered by lynnlo)
Given the circle x^2+y^2=25 and the point A(3.-4) on the circle. Find the equation of the (answered by Alan3354)
Write the equation of the circle in standard form. Find the center, radius, intercepts,... (answered by richwmiller)