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➗ MathFree
Barrel volume calculator
Estimate how much a barrel or cask holds from three measures, end radius, bulge radius and height, with V = πh/3 · (2R² + r²).
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➗ MathFree
Circle equation calculator
Turn a center and radius into the circle's standard and general equations, or go back from the general form: radius 5 at the origin gives x² + y² = 25, an area…
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➗ MathFree
Circle–line intersection
Find where a straight line crosses a circle: a circle of radius 5 at the origin and the line through (−10, 0) and (10, 0) meet at (−5, 0) and (5, 0).
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➗ MathFree
Cube calculator
Enter one measure of a cube, its edge, volume or surface area, and get all the others: an edge of 2 gives a volume of 8, a surface area of 24 and both…
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➗ MathFree
Cylinder volume calculator
Enter the radius and height of a right cylinder and get three answers at once: with radius 3 and height 5, the volume is 45π, the curved wall 30π and the full…
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➗ MathFree
Distance between two points
Type two points on a plane and get the straight-line distance between them: from (0, 0) to (3, 4) is exactly 5, with the horizontal and vertical differences…
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➗ MathFree
Ellipsoid volume calculator
Enter three semi-axes and get the ellipsoid's volume and skin area together: semi-axes 3, 2 and 1 give a volume of 8π.
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➗ MathFree
Conical frustum calculator
Give a truncated cone's two radii and its height, say 3, 4 and 5, and get the volume, slant height, side area and total surface in one go.
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➗ MathFree
Pyramid frustum calculator
Get the volume of a truncated pyramid from its two base areas and its height, so bases of 16 and 4 with a height of 6 enclose a volume of 56.
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➗ MathFree
Hemisphere calculator
Enter one radius and get a hemisphere's volume, curved dome area and total surface together: radius 1 gives a volume of two thirds of π, a dome of 2π and a…
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➗ MathFree
Heron's formula calculator
Get a triangle's area from its three sides alone, without angles or a height: sides 3, 4 and 5 give a semiperimeter of 6 and an area of 6.
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➗ MathFree
Hexagonal pyramid calculator
Get a regular hexagonal pyramid's volume and surfaces from its base edge and height, so edge 2 with height 3 gives a volume of 6√3, a lateral area of 12√3 and a…
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➗ MathFree
Hyperbola calculator
Enter a hyperbola's two semi-axes and get all its elements: semi-axes 3 and 4 give foci at ±5, vertices at ±3, an eccentricity of 5/3 and asymptote slopes of…
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➗ MathFree
Icosahedron calculator
Type one edge length and get the volume and the surface of all 20 triangular faces: an edge of 1 gives a volume of (5/12)(3+√5) and a surface of 5√3.
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➗ MathFree
Line equation from two points
Give two points and get the line through them: (0, 0) and (2, 4) give y equals 2x, which is 2x minus y equals 0 in standard form, with slope and intercept…
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➗ MathFree
Midpoint calculator
The midpoint of the segment from (0, 0) to (4, 6) is (2, 3): the average of the two x values and of the two y values.
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➗ MathFree
Oblique prism volume
An oblique prism with a base area of 12 and a perpendicular height of 5 holds 60 cubic units, just like an upright prism with the same base and height.
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➗ MathFree
Octahedron calculator
One edge length fixes every measure of a regular octahedron: with an edge of 2 the circumradius is 1.4142135624 and the volume 3.7712361663.
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➗ MathFree
Parabola calculator
For y = x², the vertex sits at the origin, the focus 0.25 above it and the directrix 0.25 below. Enter a, b and c to get the vertex, focus, directrix, axis of…
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➗ MathFree
Paraboloid volume calculator
A paraboloid with base radius 3 and height 4 holds 56.5486677646 cubic units, exactly half of the 113.0973355292 in the cylinder around it.
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➗ MathFree
Parallel or perpendicular lines
Slopes 2 and −0.5 multiply to −1, so the two lines are perpendicular and meet at 90 degrees. Enter two slopes, or mark one line as vertical, to learn whether…
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➗ MathFree
Pentagonal prism calculator
A regular pentagonal prism 5 units tall on a pentagon of side 2 holds 34.409548011779 cubic units, with 50 square units of rectangular walls.
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➗ MathFree
Point to line distance
The origin lies exactly 1 unit from the line 3x + 4y − 5 = 0. Enter the line's three coefficients and a point to get the shortest distance, its sign and whether…
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➗ MathFree
Polygon diagonals calculator
Enter the number of sides and get how many diagonals the polygon has: a hexagon has 9, a pentagon 5, a quadrilateral 2 and a triangle none, all from the formula…
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➗ MathFree
Polygon perimeter from coordinates
Enter the corners of a polygon in order and get the length of its boundary: the rectangle (0, 0), (3, 0), (3, 4), (0, 4) has a perimeter of 14, closing edge…
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➗ MathFree
Quadrilateral area calculator
Type the four corners of a quadrilateral in boundary order and get the area it encloses: (0, 0), (4, 0), (4, 3), (0, 3) give 12, with a perimeter of 14 and…
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➗ MathFree
Rectangular prism calculator
Enter the length, width and height of a box and get three answers at once: edges of 3, 4 and 5 give a volume of 60, a surface area of 94 and the…
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➗ MathFree
Regular polygon calculator
Enter the number of sides and the side length of a regular polygon and get all its measures at once: a hexagon with sides of 2 has a perimeter of 12, interior…
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➗ MathFree
Right triangle calculator
Give any two sides of a right triangle and get the rest: legs of 3 and 4 return a hypotenuse of 5, an area of 6 and both acute angles in degrees.
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➗ MathFree
Section formula calculator
Locate the point that splits a segment in a given ratio: from A (2, 3) to B (8, 7) at 1:2, it sits a third of the way along, at x of 4 and y of 4 and a third.
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➗ MathFree
Circular sector area and perimeter
Give the radius and central angle of a pie-slice sector and get its area: a quarter circle of radius 5 at 90 degrees covers 25π/4, with an arc of 5π/2 and a…
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➗ MathFree
Circular segment area
Get the area between a chord and its arc from the radius and central angle: with a radius of 10 at 90 degrees, the segment is the quarter sector minus a…
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➗ MathFree
Sphere volume calculator
Enter either the radius or the diameter of a sphere and get the rest: a radius of 3 gives a diameter of 6, a volume of four-thirds π times 3 cubed, and the…
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➗ MathFree
Spherical cap calculator
Get the volume and the curved dome area of a spherical cap together from two numbers, the sphere radius and the cap height, with the volume given by (1/3)πh²(3R…
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➗ MathFree
Spherical sector calculator
Solve the cone-plus-cap solid cut from a sphere in one step: a sphere of radius 5 with a cap 2 high gives a rim radius of 4, plus the volume and the total…
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➗ MathFree
Tank volume calculator
Turn a dipstick or level reading into liquid volume for a horizontal or vertical cylindrical tank: a horizontal tank of radius 1 and length 10 filled to depth 1…
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➗ MathFree
Tetrahedron volume calculator
Enter one edge and get every main measure of a regular tetrahedron at once: an edge of 2 gives a volume of 0.942809041582 and a surface of 6.928203230276, plus…
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➗ MathFree
Trapezoid area calculator
Find the area of a trapezoid from its two parallel sides and its height, together with the midsegment: bases 8 and 12 with a height of 5 give a midsegment of 10…
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➗ MathFree
30-60-90 triangle calculator
Solve a 30-60-90 triangle from a single side. A short leg of 5 gives a long leg of 8.660254037844, a hypotenuse of 10 and an area of 21.650635094611.
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➗ MathFree
AAS triangle calculator
Solve an angle-angle-side triangle in one step: with angles of 40° and 60° and a side of 7 opposite the first, the third angle is 80° and the other sides are…
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➗ MathFree
Triangle area from coordinates
Get the area of a triangle straight from its three corner points: (0, 0), (4, 0) and (0, 3) enclose an area of 6.
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➗ MathFree
ASA triangle calculator
Two angles and the side between them fix a triangle completely: from 40°, 60° and an included side of 10 you get a third angle of 80° and sides of…
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➗ MathFree
Triangle centroid calculator
Find the center of a triangle by averaging its corners: the vertices (0, 0), (6, 0) and (0, 6) give a centroid at (2, 2).
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➗ MathFree
Triangle orthocenter from coordinates
Find where the three altitudes of a triangle cross from its corner coordinates: for (0, 0), (4, 0) and (0, 3) the orthocenter sits on the right angle at (0, 0).
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➗ MathFree
SAS triangle calculator
Two sides and the angle between them give you the whole triangle: sides 3 and 4 with 90° between them close with a third side of 5, an area of 6 and angles of…
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➗ MathFree
Triangular prism calculator
Enter the three sides of the triangular base and the length to get volume and surface: a 3-4-5 base stretched to a length of 10 holds a volume of 60 with a…
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➗ MathFree
Two circles intersection
Find where two circles cross from their centers and radii: circles of radius 5 centered at (0, 0) and (8, 0) meet at (4, 3) and (4, -3).
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➗ MathFree
Wedge volume calculator
Work out the volume of a ramp-shaped solid from its base and two end heights: a 10 by 4 base sloping from a height of 6 down to 2 holds 160.
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❤️ Health & fitnessFree
Anion gap calculator
Get the serum anion gap and its albumin-corrected value in one step: sodium 140, chloride 104 and bicarbonate 24 mEq/L give a gap of 12.
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❤️ Health & fitnessFree
Blood pressure category calculator
Put an adult blood pressure reading into its ACC/AHA 2017 category: 118/76 mmHg is normal, while 125/82 is already stage 1 because the diastolic number reached…
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❤️ Health & fitnessFree
BMI Prime calculator
Express a BMI as a ratio to the upper-normal limit of 25: a BMI of 22.5 gives a BMI Prime of 0.9, which is 90% of the limit, so it plainly sits below it.
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❤️ Health & fitnessFree
Harris-Benedict BMR calculator
Find your resting calorie baseline with the revised Harris-Benedict equation from 1984: a 30-year-old man weighing 80 kg at 180 cm burns 1,853.632 kcal a day at…
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❤️ Health & fitnessFree
Katch-McArdle BMR calculator
At 80 kg and 20% body fat you carry 64 kg of lean mass, and the Katch-McArdle equation puts your resting burn at 1752.4 kcal a day, because it counts lean…
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❤️ Health & fitnessFree
Total body water calculator
Estimate how much water your body holds with the Watson equations from 1980: a 30-year-old man at 180 cm and 80 kg carries 45.9282 litres, which is 57.41025% of…
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❤️ Health & fitnessFree
Body surface area Du Bois calculator
Get body surface area from the Du Bois formula of 1916: 0.007184 times height in cm to the power 0.725 times weight in kg to the power 0.425.
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❤️ Health & fitnessFree
Body surface area calculator
Multiply height in cm by weight in kg, divide by 3600 and take the square root: for 170 cm and 70 kg the product is 11900.
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❤️ Health & fitnessFree
Calories burned calculator
Multiply the activity MET by your weight in kg and the hours of exercise: MET 8 at 70 kg for 30 minutes is 280 kcal, or 560 kcal per hour.
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❤️ Health & fitnessFree
Child and teen BMI calculator
An 8-year-old boy weighing 32 kg at 132 cm lands in the overweight band, between the 85th and 95th percentile for his age.
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❤️ Health & fitnessFree
Corrected calcium calculator
With calcium at 8 mg/dL and albumin at 3 g/dL, the Payne formula adds 0.8 and gives a corrected calcium of 8.8.
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❤️ Health & fitnessFree
Cycling calorie calculator
A 70 kg rider at moderate effort for 60 minutes burns about 476 kcal, using MET 6.8 times weight times hours.
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