Basic Shapes Formulas



This is a short list of some common mathematical shapes and figures and the formulas that describe them.

FormulasFormulas

Two-dimensional shapes[edit]

ShapeAreaPerimeter/Circumference
Square (where s{displaystyle s} is the length of a side)A=s2{displaystyle A=s^{2}}P=4s{displaystyle P=4s}
Rectangle ( l{displaystyle l} is length, w{displaystyle w} is width)A=lw{displaystyle A=lw}P=2l+2w{displaystyle P=2l+2w}
Circle (where r{displaystyle r} is the radius and d{displaystyle d} is the diameter)A=πr2{displaystyle A=pi r^{2}}C=2πr{displaystyle C=2pi r} or C=πd{displaystyle C=pi d}
Ellipse (where a{displaystyle a} is the semimajor axis and b{displaystyle b} is the semiminor axis)A=πab{displaystyle A=pi ab}
Triangle (b{displaystyle b} is base; h{displaystyle h} is height; a,b,c{displaystyle a,b,c} are sides)A=bh2{displaystyle A={frac {bh}{2}}}P=a+b+c{displaystyle P=a+b+c}
Parallelogram (b{displaystyle b} is base, h{displaystyle h} is height, a{displaystyle a} is side)A=bh{displaystyle A=bh}P=2a+2b{displaystyle P=2a+2b}
Trapezoid (where a{displaystyle a} and b{displaystyle b} are the bases)A=a+b2h{displaystyle A={frac {a+b}{2}}h}

Basic Shapes Formulas comprises a selection of 28 different calculators that will simplify calculations which have given you headaches so far. Complex calculations, such as Surface Area of. Chapter 1 Basic Geometry An intersection of geometric shapes is the set of points they share in common. L and m intersect at point E. L and n intersect at point D. The main concern of every student about maths subject is the Geometry Formulas. They are used to calculate the length, perimeter, area and volume of various geometric shapes and figures. There are many geometric formulas, which are related to height, width, length, radius, perimeter, area, surface area or volume and much more. You are only given geometry formulas, so prioritize memorizing your algebra and trigonometry formulas before test day (we'll cover these in the next section). You should focus most of your study effort on algebra anyways, because geometry has been de-emphasized on the new SAT and now makes up just 10% (or less) of the questions on each test.

Sources:[1][2]
Shapes

Three-dimensional shapes[edit]

Area of shapes formula sheet
ShapeVolumeSurface area
Cube (where s{displaystyle s} is the length of a side)V=s3{displaystyle V=s^{3}}6s2{displaystyle 6s^{2}}
Rectangular Prism (l{displaystyle l} = length, h{displaystyle h} = height, w{displaystyle w} = width)V=lwh{displaystyle V=lwh}S=2lw+2lh+2wh{displaystyle S=2lw+2lh+2wh}
Sphere (where r{displaystyle r} is the radius)V=4πr33{displaystyle V={frac {4pi r^{3}}{3}}}S=4πr2{displaystyle S=4pi r^{2}}
Right circular cylinder (where r{displaystyle r} is the radius and h{displaystyle h} is the height)V=πr2h{displaystyle V=pi r^{2}h}S=2πrh+2πr2{displaystyle S=2pi rh+2pi r^{2}}
Sources:[4]

Basic Geometry Shapes Formulas

References[edit]

  1. ^'Archived copy'(PDF). Archived from the original(PDF) on 2012-08-13. Retrieved 2011-11-29.CS1 maint: discouraged parameter (link) CS1 maint: archived copy as title (link)
  2. ^http://www.math.com/tables/geometry/areas.htm
  3. ^https://www.andlearning.org/geometry-formulas/
  4. ^http://www.math.com/tables/geometry/volumes.htm

Basic Geometric Shapes Formulas

Shapes

Formulas Of Basic Shapes

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