Home > Plots & Geometry calculators


Educational Level

Secondary school, High school and College 
Program Purpose

Provide step by step solutions of your problems using online calculators (online solvers)

Problem Source

Your textbook, etc 
1. Graph
1. General Graph for any f(x) and f(y)
2. Graph  Using Points and Slope
2.1 Line like x=3y+5; 2x+y=1; x+2y<=5; x+y>=15
2.2 Line Using 2 Points like Point1=(3,5) and Point2=(5,3)
2.3 Slope & point like Slope=7 and Point=(4,6)
2.4 Slope & YIntercept like Slope=2 and YIntercept=4
2.5 Only a Point like plot a point (3,5),(5,3)
2.6 Points on Number Line(Xaxis) like 3,5,12,7,0
3. Circle
4. Ellipse
5. Parabola
6. Hyperbola
7. Polar Graph
8. Statistics Graph
8.1 Histogram
8.2 Frequency Polygon
8.3 Frequency Curve
8.4 Less than type cumulative frequency curve
8.5 More than type cumulative frequency curve
2. Area
1. Circle
2. SemiCircle
3. RegularHexagon
4. Square
5. Rectangle
6. Parallelogram
7. Rhombus
8. Trapezium
9. Scalene Triangle
10. Rightangle Triangle
11. Equilateral Triangle
12. Isoceles Triangle
13. Sector Segment
3. Volume
1. Cuboid
2. Cube
3. Cylinder
4. Cone
5. Sphere
6. HemiSphere
4. Pythagoras Theorem

1.
General Graph

1. `y = x`
2. `y <= sin(x)`
3. `y >= cos(x)`
4. `y = sqrt(x)`
5. `y <= sqrt(x^33x)`
6. `y >= x`
7. `y = x^3x`
8. `y <= (e^xe^(x))/2`
1. `x = sin(y)`
2. `x <= cos(y)`
3. `x >= sqrt(y)`
4. `x = sqrt(y^33y)`
5. `x <= y`
6. `x >= sin(y)^3+cos(y)^3`
7. `x = y+sin(y)`
8. `x <= (sin(9y)+sin(10y))*sin(0.1y)`


2.
Graph  Using Points and Slope

1. Lines
like x=3y+5; 2x+y=1; x+2y<=5; x+y>=15
2. Line Using 2 Points
like Point1=(3,5) and Point2=(5,3)
3. Slope & point
like Slope=7 and Point=(4,6)
4. Slope & YIntercept
like Slope=2 and YIntercept=4
5. Only a Point
like plot a point (3,5),(5,3)
6. Points on Number Line(Xaxis)
like 3,5,12,7,0



3.
Circle

1. Circle1
`X^2 + Y^2 = 9`
2. Circle2
`(X+1)^2 + Y^2 = 12`
3. Circle3
`X^2 + (Y2)^2 = 15`
4. Circle4
`(X+1)^2 + (Y2)^2 = 9`


4.
Ellipse

1. Ellipse1
`X^2/4 + Y^2/9 = 9`
2. Ellipse2
`(X+1)^2/4 + Y^2/9 = 12`
3. Ellipse3
`X^2/4 + (Y2)^2/9 = 15`
4. Ellipse4
`(X+1)^2/4 + (Y2)^2/9 = 9`



5.
Parabola

1. Parabola1
`Y = 3X^2`
2. Parabola2
`Y = 3X^2 + 1`
3. Parabola3
`Y = 3(X+1)^2`
4. Parabola4
`Y = 3(X+1)^2 + 1`
5. Parabola5
`X = 3Y^2`
6. Parabola6
`X = 3Y^2 + 1`
7. Parabola7
`X = 3(Y+1)^2`
8. Parabola8
`X = 3(Y+1)^2 + 1`


6.
Hyperbola

1. Hyperbola1
`X^2/4  Y^2/9 = 9`
2. Hyperbola2
`2. (X+1)^2/4  Y^2/9 = 12`
3. Hyperbola3
`X^2/4  (Y2)^2/9 = 15`
4. Hyperbola4
`(X+1)^2/4  (Y2)^2/9 = 9`
5. Hyperbola5
`Y^2/4  X^2/9 = 9`
6. Hyperbola6
`(Y+1)^2/4  X^2/9 = 12`
7. Hyperbola7
`Y^2/4  (X2)^2/9 = 15`
8. Hyperbola8
`(Y+1)^2/4  (X2)^2/9 = 9`



7.
Polar Graph

1. `R = 4*cos(2*t)`
2. `R = 4*sin(2*t)`
3. `R = 24*sin(2*t)`
4. `R = 24*cos(2*t)`
5. `R = 2+4*cos(2*t)`
6. `R = 2+4*sin(2*t)`















7.
Rhombus

Radius `(r_1) = (d_1)/2`
Radius `(r_2) = (d_2)/2`
Side `(a) = sqrt(r_1^2 + r_2^2)`
Perimeter `(P) = 4 a`
Area `(SA) = (d_1 d_2)/2`
I know that for a rhombus d1 = 10 and d2 = 24 . From this find out Area of the rhombus.
`"Here, we have " d_1 = 10" and " d_2 = 24" (Given)"`
`a^2 = (d_1/2)^2 + (d_2/2)^2`
`a^2 = (10/2)^2 + (24/2)^2`
`a^2 = (5)^2 + (12)^2`
`a^2 = 169`
`a = 13`
`"Perimeter" = 4 * a`
` = 4 * 13`
` = 52`
`"Area" = 1/2 " (Product of diagonals)"`
` = 1/2 * d_1 * d_2`
` = 1/2 * 10 * 24`
` = 120`












1.
Cuboid

Diagonal `(d) = sqrt(l^2+ b^2+ h^2)`
Surface Area `(SA) = 2 (lb + bh + hl)`
Volume `(V) = lbh`
I know that for a cuboid Length = 3 , Breadth = 4 , and Height = 5 . From this find out Volume of the cuboid.
`"Here, we have " l = 3, b=4, h=5" (Given)"`
`"Diagonal"^2 = l^2 + b^2 + h^2`
`"Diagonal"^2 = 3^2 + 4^2 + 5^2`
`"Diagonal"^2 = 50`
`Diagonal = 7.0711`
`"Here, we have " l = 3, b=4, h=5" (Given)"`
`"Volume" = l * b * h`
` = 3 * 4 * 5`
` = 60`
`"Here, we have " l = 3, b=4, h=5" (Given)"`
`"Total Surface Area" = 2 (lb + bh + lh)`
` = 2 * (3 * 4 + 4 * 5 + 3 * 5)`
` = 2 * (47)`
` = 94`
`"Here, we have " l = 3, b=4, h=5" (Given)"`
`"Curved Surface Area" = 2h (l + b)`
` = 2 * 5 (3 + 4)`
` = 70`


2.
Cube

diameter `(d) = sqrt(2) l`
Diagonal `= sqrt(3) l`
Surface Area `(SA) = 6 l^2`
Volume `(V) = l^3`
I know that for a cube Length = 3 . From this find out Volume of the cube.
`"Here, we have " l = 3`
`"Diagonal" = sqrt(3) l`
` = sqrt(3) * 3`
` = 5.1962`
`"Here, we have " l = 3`
`"Volume" = l^3`
` = 3^3`
` = 27`
`"Here, we have " l = 3`
`"Total Surface Area" = 6 l^2`
` = 6 * 3^2`
` = 6 * 9`
` = 54`
`"Here, we have " l = 3`
`"Curved Surface Area" = 4 l^2`
` = 4 * 3^2`
` = 4 * 9`
` = 36`




4.
Cone

Height `(h) = sqrt(l^2  r^2)`
Curved Surface Area `(CSA) = pi r l`
Total Surface Area `(TSA) = pi r (l + r)`
Volume `(V) = (pi r^2 h)/3`
I know that for a cone Radius = 3 and Length = 5 . From this find out Volume of the cone.
`"Here, we have Radius "(r) = 3" and Slant Height " (l) = 5" (Given)"`
`l^2 = r^2 + h^2`
`h^2 = l^2  r^2`
`h^2 = 5^2  3^2`
`h^2 = 16`
`h = 4`
`"Volume" = (pi r^2 h)/3`
` = (pi * 3^2 * 4)/3`
` = 37.6991`
`"Total Surface Area" = pi r (l + r)`
` = pi * 3 (5 + 3)`
` = 75.3982`
`"Curved Surface Area" = pi r l`
` = pi * 3 * 5`
` = 47.1239`






Pythagoras Theorem
: In a right angled triangle, the square of the length of the hypotenuse
is equal to the sum of the squares of the lengths of the remaining sides.
i.e. `AC^2 = AB^2 + BC^2`
Using Pythagoras
Theorem, Find out AC when AB = 5 and BC = 12
Here AB=5 and BC=12 (Given)
We know that,
In triangle ABC, by Pythagoras' theorem
`AC^2 = AB^2 + BC^2`
`AC^2 = 5^2 + 12^2`
`AC^2 = 25 + 144`
`AC^2 = 169`
`AC = 13`




