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

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## Murray R. Spiegel:

## Murray R. Spiegel: *Mathematical Handbook of Formulas and Tables: Chapter 4*

Published $1968$.

## $4 \quad$ Geometric Formulas

### Rectangle of Length $b$ and Width $a$

### Parallelogram of Altitude $h$ and Base $b$

### Triangle of Altitude $h$ and Base $b$

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

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

### Circle of Radius $r$

### Sector of Circle of Radius $r$

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

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

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

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

### Segment of Circle of Radius $r$

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

### Segment of Parabola

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

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

### Sphere of Radius $r$

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

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

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

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

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

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

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

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

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

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