# Circle - AG

Find the coordinates of circle and its diameter if its equation is:

$x2 + y2 - 6x-4y=36$

Result

x1 =  0
y1 =  2
D =  14

#### Solution:

$x^2 + y^2 - 6x-4y = 36 \ \\ (x-3)^2 + (y-2)^2 -3^2-2^2 = 36 \ \\ (x-3)^2 + (y-2)^2 = 49 \ \\ x_{ 1 } = 3 = 0$
$y_{ 1 } = 2$
$r = \sqrt{ 49 } = 7 \ \\ D = 2 \cdot \ r = 2 \cdot \ 7 = 14$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Equation of circle
find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16.
2. Find the 12
Find the equation of the circle with center (3,7) and circumference 8π units.
3. Center
Calculate the coordinates of the circle center: ?
4. Circle chord
Determine the radius of the circle in which the chord 6 cm away from the center of the circle is 12 cm longer than the radius of the circle.
5. RT and circles
Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
6. Circle
Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
7. Circle annulus
There are 2 concentric circles in the figure. Chord of larger circle 10 cm long is tangent to the smaller circle. What are does annulus have?
8. Circle's chords
In the circle there are two chord length 30 and 34 cm. The shorter one is from the center twice than longer chord. Determine the radius of the circle.
9. Chord - TS v2
The radius of circle k measures 87 cm. Chord GH = 22 cm. What is TS?
10. The fence
I'm building a fence. Late is rounded up in semicircle. The tops of late in the field between the columns are to copy an imaginary circle. The tip of the first and last lath in the field is a circle whose radius is unknown. The length of the circle chord i
11. Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.