If there is one prayer that you should pray/sing every day and every hour, it is the LORD's prayer (Our FATHER in Heaven prayer)
It is the most powerful prayer. A pure heart, a clean mind, and a clear conscience is necessary for it. - Samuel Dominic Chukwuemeka

For in GOD we live, and move, and have our being. - Acts 17:28

The Joy of a Teacher is the Success of his Students. - Samuel Chukwuemeka

Decimal to Fraction





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Conic Sections Calculators

Calculators for Circles

All input values should be integers or decimals only. No fractions.
Some of the output values are in fractions and/or radicals. Pick the one you need.
Simplify further as necessary.

  • Given: Standard Form of the Equation of a Circle
    To Find: other details

$(x - $$)^2$ $\:\:+\:\:$ $(y - $$)^2$ $\:\:=\:\:$ $^2$



The center is (, )

The radius is

The General Form is:
$x^2$ $+$ $y^2$ $+$
$x$ $+$ $y$ $+$
$= 0$

  • Given: General Form of the Equation of a Circle
    To Find: other details

$x^2$ $+$ $y^2$ $+$ $x$ $+$ $y$ $+$ $= 0$



The center is (, )
OR
(, )

The radius is OR

The Standard Form is:
$(x - $$)^2$ $\:\:+\:\:$
$(y - $$)^2$ $\:\:=\:\:$
$^2$

  • Given: Center, Radius of a Circle
    To Find: other details

The center is (, )

The radius is



The Standard Form is:
$(x - $$)^2$ $\:\:+\:\:$
$(y - $$)^2$ $\:\:=\:\:$
$^2$

The General Form is:
$x^2$ $+$ $y^2$ $+$
$x$ $+$ $y$ $+$
$= 0$

  • Given: Center, Tangent to a Line
    To Find: other details

The center is ( , )

Please NOTE:
For a circle that is tangent to the x-axis, set y = 0
For a circle that is tangent to the y-axis, set x = 0



The radius is

The diameter is

The Standard Form is:
$(x - $ $)^2$ $\:\:+\:\:$
$(y - $ $)^2$ $\:\:=\:\:$
$^2$

The General Form is:
$x^2$ $+$ $y^2$ $+$
$x$ $+$ $y$ $+$
$= 0$

  • Given: Any Two Points
    To Find: Point on the $y-axis$ Equidistant from the Two Points

1st point is (, )

2nd point is (, )



The point on the $y-axis$ equidistant from the two points is
(, )

  • Given: Any Two Points
    To Find: Point on the $x-axis$ Equidistant from the Two Points

1st point is (, )

2nd point is (, )



The point on the $x-axis$ equidistant from the two points is
(, )

  • Given: Endpoints of the Diameter of a Circle
    To Find: other details

1st endpoint of diameter is (, )

2nd endpoint of diameter is (, )



The center is (, )
OR
(, )

The diameter is OR

The radius is OR

The Standard Form is:
$(x - $$)^2$ $\:\:+\:\:$
$(y - $$)^2$ $\:\:=\:\:$
$^2$

The General Form is:
$x^2$ $+$ $y^2$ $+$
$x$ $+$ $y$ $+$
$= 0$

  • Given: Center, Point on the Circumference of a Circle
    To Find: other details

The center is (, )

1st endpoint of diameter is (, )



The radius is OR

The diameter is OR

2nd endpoint of diameter is (, )

The Standard Form is:
$(x - $$)^2$ $\:\:+\:\:$
$(y - $$)^2$ $\:\:=\:\:$
$^2$

The General Form is:
$x^2$ $+$ $y^2$ $+$
$x$ $+$ $y$ $+$
$= 0$

  • Given: Center, Radius of a Circle; a Point
    To Determine: if the Point Lies on the Circle

The center is ( , )

The radius is

Point is ( , )



The point:

  • Given: Center, Point on the Circumference of a Circle, Another Point
    To Find: the Radius and to determine if the Other Point Lies on the Circle

The center is ( , )

1st endpoint on the cirle is ( , )

2nd point is ( , )



The radius is OR

The 2nd point:

  • Given: Any Three Points on the Circumference of A Circle
    To Find: other details

Point 1 = ( , )

Point 2 = ( , )

Point 3 = ( , )



The center is
( , )

The radius is

The diameter is

The Standard Form is:
$(x - $ $)^2$ $\:\:+\:\:$
$(y - $ $)^2$ $\:\:=\:\:$
$^2$

The General Form is:
$x^2$ $+$ $y^2$ $+$
$x$ $+$ $y$ $+$
$= 0$





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Calculators for Ellipses

All input values should be integers or decimals only. No fractions.
Some of the output values are in fractions and/or radicals. Pick the one you need.
Simplify further as necessary.

  • Given: Standard Form of the Equation of an Ellipse
    Center is at the origin (0, 0)
    Denominator is a result of squaring
    To Find: other details
$x^2$ $y^2$
$+$
$=\;\;\;\;\;1$


Horizontal distance from the center to the boundary =


Vertical distance from the center to the boundary =


The major axis is the

The minor axis is the

The ellipse is a ellipse

Length of the major axis =

Length of the minor axis =

Center = ( , )

Endpoints of the major axis (Vertices) =
( , )
and
( , )

Endpoints of the minor axis =
( , )
and
( , )

Foci =
( , )
and
( , )

Linear Eccentricity (distance from the center to either focus) =


Distance between the foci =


Eccentricity =

Area =

Length of the Latus Rectum =

Endpoints of the Latus Rectum passing through one focus =
( , )
and
( , )
Endpoints of the Latus Rectum passing through the other focus =
( , )
and
( , )

Distance between the two Directrixes =


The two Directrixes are

and


The Factored Form is:
($x -$ )$^2\;\;+$
($y -$ )$^2\;\;=$


The General Form is:
$x^2\;\;\;+\;\;\;$ $y^2\;\;\;+\;\;\;$
$x\;\;\;+\;\;\;$ $y\;\;\;+\;\;\;$
$=\;0$

Perimeter ≈

  • Given: Standard Form of the Equation of an Ellipse
    Center is at the origin (0, 0)
    Denominator is squared
    To Find: other details
$x^2$ $y^2$
$+$
$=\;\;\;\;\;1$
$^2$ $^2$


Horizontal distance from the center to the boundary =


Vertical distance from the center to the boundary =


The major axis is the

The minor axis is the

The ellipse is a ellipse

Length of the major axis =

Length of the minor axis =

Center = ( , )

Endpoints of the major axis (Vertices) =
( , )
and
( , )

Endpoints of the minor axis =
( , )
and
( , )

Foci =
( , )
and
( , )

Linear Eccentricity (distance from the center to either focus) =


Distance between the foci =


Eccentricity =

Area =

Length of the Latus Rectum =

Endpoints of the Latus Rectum passing through one focus =
( , )
and
( , )
Endpoints of the Latus Rectum passing through the other focus =
( , )
and
( , )

Distance between the two Directrixes =


The two Directrixes are

and


The Factored Form is:
($x -$ )$\;^2\;\;+$
($y -$ )$\;^2\;\;=$
$\;^2$

The General Form is:
$x^2\;\;\;+\;\;\;$ $y^2\;\;\;+\;\;\;$
$x\;\;\;+\;\;\;$ $y\;\;\;+\;\;\;$
$=\;0$

Perimeter ≈

  • Given: Standard Form of the Equation of an Ellipse
    Center may or may not be at (0, 0)
    Denominator is a result of squaring
    To Find: other details

$(x -$ ) $^2$ $(y -$ ) $^2$
$+$
$=\;\;\;\;\;1$


Horizontal distance from the center to the boundary =


Vertical distance from the center to the boundary =


The major axis is the

The minor axis is the

The ellipse is a ellipse

Length of the major axis =

Length of the minor axis =

Center = ( , )

Endpoints of the major axis (Vertices) =
( , )
and
( , )

Endpoints of the minor axis =
( , )
and
( , )

Foci =
( , )
and
( , )

Linear Eccentricity (distance from the center to either focus) =


Distance between the foci =


Eccentricity =

Area =

Length of the Latus Rectum =

Endpoints of the Latus Rectum passing through one focus =
( , )
and
( , )
Endpoints of the Latus Rectum passing through the other focus =
( , )
and
( , )

Distance between the two Directrixes =


The two Directrixes are

and


The Factored Form is:
($x -$ )$^2\;\;+$
($y -$ )$^2\;\;=$


The General Form is:
$x^2\;\;\;+\;\;\;$ $y^2\;\;\;+\;\;\;$
$x\;\;\;+\;\;\;$ $y\;\;\;+\;\;\;$
$=\;0$

Perimeter ≈

  • Given: Standard Form of the Equation of an Ellipse, Center
    Center may or may not be at (0, 0)
    Denominator is squared
    To Find: other details

$(x -$ ) $^2$ $(y -$ ) $^2$
$+$
$=\;\;\;\;\;1$
$^2$ $^2$


Horizontal distance from the center to the boundary =


Vertical distance from the center to the boundary =


The major axis is the

The minor axis is the

The ellipse is a ellipse

Length of the major axis =

Length of the minor axis =

Center = ( , )

Endpoints of the major axis (Vertices) =
( , )
and
( , )

Endpoints of the minor axis =
( , )
and
( , )

Foci =
( , )
and
( , )

Linear Eccentricity (distance from the center to either focus) =


Distance between the foci =


Eccentricity =

Area =

Length of the Latus Rectum =

Endpoints of the Latus Rectum passing through one focus =
( , )
and
( , )
Endpoints of the Latus Rectum passing through the other focus =
( , )
and
( , )

Distance between the two Directrixes =


The two Directrixes are

and


The Factored Form is:
($x -$ )$\;^2\;\;+$
($y -$ )$\;^2\;\;=$
$\;^2$

The General Form is:
$x^2\;\;\;+\;\;\;$ $y^2\;\;\;+\;\;\;$
$x\;\;\;+\;\;\;$ $y\;\;\;+\;\;\;$
$=\;0$

Perimeter ≈

  • Given: General Form of the Equation of an Ellipse
    To Find: other details

$x^2\;\;\;+\;\;\;$ $y^2\;\;\;+\;\;\;$
$x\;\;\;+\;\;\;$ $y\;\;\;+\;\;\;$
$=\;0$



The Standard Form is:
$(x -$ ) $^2$ $(y -$ ) $^2$
$+$
$=\;\;\;\;\;1$

Horizontal distance from the center to the boundary =


Vertical distance from the center to the boundary =


The major axis is the

The minor axis is the

The ellipse is a ellipse

Length of the major axis =

Length of the minor axis =

Center = ( , )

Endpoints of the major axis (Vertices) =
( , )
and
( , )

Endpoints of the minor axis =
( , )
and
( , )

Foci =
( , )
and
( , )

Linear Eccentricity (distance from the center to either focus) =


Distance between the foci =


Eccentricity =

Area =

Length of the Latus Rectum =

Endpoints of the Latus Rectum passing through one focus =
( , )
and
( , )
Endpoints of the Latus Rectum passing through the other focus =
( , )
and
( , )

Distance between the two Directrixes =


The two Directrixes are

and


The Factored Form is:
($x -$ )$\;^2\;\;+$
($y -$ )$\;^2\;\;=$


Perimeter ≈

  • Given:
    To Find:




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Calculators for Parabolas

All input values should be integers or decimals only. No fractions.
Some of the output values are in fractions and/or radicals. Pick the one you need.
Simplify further as necessary.





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Calculators for Hyperbolas

All input values should be integers or decimals only. No fractions.
Some of the output values are in fractions and/or radicals. Pick the one you need.
Simplify further as necessary.





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