Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 4

Rectangle of Length $b$ and Width $a$

 * $4.1$: Area of Rectangle


 * $4.2$: Perimeter of Rectangle

Parallelogram of Altitude $h$ and Base $b$

 * $4.3$: Area of Parallelogram


 * $4.4$: Perimeter of Parallelogram

Triangle of Altitude $h$ and Base $b$

 * $4.5$: Area of Triangle in Terms of Side and Altitude


 * $4.5$: Area of Triangle in Terms of Two Sides and Angle


 * $4.5$: Heron's Formula


 * $4.5$ Definition:Semiperimeter


 * $4.6$ Perimeter of Triangle

Trapezoid of Altitude $h$ and Parallel Sides $a$ and $b$

 * $4.7$ Area of Trapezoid


 * $4.8$ Perimeter of Trapezoid

Regular Polygon of $n$ Sides each of Length $b$

 * $4.9$ Area of Regular Polygon


 * $4.10$ Perimeter of Regular Polygon

Circle of Radius $r$

 * $4.11$ Area of Circle


 * $4.12$ Perimeter of Circle

Sector of Circle of Radius $r$

 * $4.13$ Area of Sector


 * $4.14$ Arc Length of Sector

Radius of Circle inscribed in a Triangle of Sides $a$, $b$, $c$

 * $4.15$ Length of Inradius of Triangle

Radius of Circle circumscribing a Triangle of Sides $a$, $b$, $c$

 * $4.16$ Length of Circumradius of Triangle

Regular Polygon of $n$ Sides inscribed in Circle of Radius $r$

 * $4.17$ Area of Regular Polygon by Circumradius


 * $4.18$ Perimeter of Regular Polygon by Circumradius

Regular Polygon of $n$ Sides circumscribing a Circle of Radius $r$

 * $4.19$ Area of Regular Polygon by Inradius


 * $4.20$ Perimeter of Regular Polygon by Inradius

Segment of Circle of Radius $r$

 * $4.21$ Area of Segment of Circle

Ellipse of Semi-Major Axis $a$ and Semi-Minor Axis $b$

 * $4.22$ Area of Ellipse


 * $4.23$ Perimeter of Ellipse

Segment of Parabola

 * $4.24$ Quadrature of Parabola


 * $4.25$ Arc Length of Parabola

Rectangular Parallelepiped of Length $a$, Height $l$, Width $c$

 * $4.26$ Volume of Rectangular Parallelepiped


 * $4.27$ Surface Area of Rectangular Parallelepiped

Parallelepiped of Cross-Sectional Area $A$ and Height $h$

 * $4.28$ Volume of Parallelepiped

Sphere of Radius $r$

 * $4.29$ Volume of Sphere


 * $4.30$ Surface Area of Sphere

Right Circular Cylinder of Radius $r$ and Height $h$

 * $4.31$ Volume of Cylinder


 * $4.32$ Surface Area of Cylinder

Circular Cylinder of Radius $r$ and Slant Height $l$

 * $4.33$ Volume of Slanted Cylinder


 * $4.34$ Surface Area of Slanted Cylinder

Cylinder of Cross-Sectional Area $A$ and Slant Height $l$

 * $4.35$ Volume of General Cylinder


 * $4.36$ Volume of General Cylinder

Right Circular Cone of Radius $r$ and Height $h$

 * $4.37$ Volume of Right Circular Cone


 * $4.38$ Surface Area of Right Circular Cone

Pyramid of Base Area $A$ and Height $h$

 * $4.39$ Volume of Pyramid

Spherical Cap of Radius $r$ and Height $h$

 * $4.40$ Volume of Spherical Cap


 * $4.41$ Surface Area of Spherical Cap

Frustum of Right Circular Cone of Radii $a$, $b$ and Height $h$

 * $4.42$ Volume of Frustrum


 * $4.43$ Surface Area of Frustum

Spherical Triangle of Angles $A$, $B$, $C$ on Sphere of Radius $r$

 * $4.44$ Area of Spherical Triangle

Torus of Inner Radius $a$ and Outer Radius $b$

 * $4.45$ Volume of Torus


 * $4.46$ Surface Area of Torus

Ellipsoid of Semi-Axes $a$, $b$, $c$

 * $4.47$ Volume of Ellipsoid

Paraboloid of Revolution

 * $4.48$ Volume of Paraboloid of Revolution