AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Circle

AHSME 1983

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
geometry
Mathematical analysis
pi
Division
Elementary arithmetic
Fraction
Numbers
Circle
religion

USA AIME 1983 1 Let x, y, and z all exceed 1 and let w be a positive number such that logxw = 24, logy w = 40, and logxyz w = 12. Find logz w. 2 Let f(x) = |x? p|+ |x? 15|+ |x? p? 15|, where 0 < p < 15. Determine the minimum value taken by f(x) for x in the interval p ? x ? 15. 3 What is the product of the real roots of the equation x2 + 18x+ 30 = 2 ? x2 + 18x+ 45? 4 A machine-shop cutting tool has the shape of a notched circle, as shown. The radius of the circle is ? 50 cm, the length of AB is 6 cm, and that of BC is 2 cm. The angle ABC is a right angle. Find the square of the distance (in centimeters) from B to the center of the circle. A B C 5 Suppose that the sum of the squares of two complex numbers x and y is 7 and the sum of

Formula

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
geometry
Mathematics
Triangles
equations
Triangle geometry
Exponentials
Elementary algebra
Area
Volume
Surface area
Circle
Right triangle
Algebra
Formula

| COMMON?MATH?FORMULAS? AREA(A) Square Rectangle Parallelogram Triangle Circle Trapezoid Sphere ? ? ??; ? ? ??; ? ? ??; ? ? 1/2??; ? ? ???; ?? ? ?1/2???1? ? ??2???; ? ? 4??? where s = any side of the square where l = length and w = width where b = base and h = height where b = base and h = height where ?= 3.14 and r = radius where s= Surface area SURFACE AREA (SA)of a: cube SA = 6?? where s = any side cylinder (lateral) ?? ? 2???; where ?=3.14, r = radius, and h = height PERIMETER (P) of a Square ? ? 4?; where s = any side Rectangle ? ? 2? ? 2?; where l = length and w = width Triangle ? ? ?1 ? ?2 ? ?3; where s = a side

Ellipses

Subject: 
Trigonometry
Rating: 
0
No votes yet
Tags: 
geometry
Conic sections
Algebraic geometry
Ellipse
Semi-minor axis
Semi-major axis
focus
eccentricity
Circle
Line Segment
Hyperbola
Director circle

An ellipse is the set of points such that the sum of the distances from any point on the ellipse to two other fixed points is constant. The two fixed points are called the foci (plural of focus) of the ellipse. Figure %: The sum of the distances d1 + d2 is the same for any point on the ellipse. The line segment containing the foci of an ellipse with both endpoints on the ellipse is called the major axis. The endpoints of the major axis are called the vertices. The point halfway between the foci is the center of the ellipse. The line segment perpendicular to the major axis and passing through the center, with both endpoints on the ellipse, is the minor axis.

Proving Cyclic Quadrilateral Rules

Subject: 
Geometry
Rating: 
0
No votes yet
Tags: 
geometry
Quadrilaterals
Cyclic quadrilateral
Inscribed angle
Circle
Angle
Circumscribed circle
Tangential quadrilateral
Ex-tangential quadrilateral
education

A Development of Proof Through Cyclic Quadrilaterals Developed by Kimberly Aitken This lesson was developed for use in a geometry class as a stepping stone towards the mastery of proof writing skills. It incorporates knowledge on the geometry of circles as well as angles, and it provides students with additional exposure beyond the curriculum on writing proofs.

Draw It

Subject: 
Biology
Rating: 
0
No votes yet
Tags: 
geometry
Conic sections
Curves
Circle
pi
Stairway
Triangle

By: Wade Moore 9/4/2013 Draw It! Steps on ?How to Draw it? Part 1 Start in the upper left corner of the drawing area, and then draw a squiggly line straight down (only like 8 small squiggles, a fairly short line). Next you?ll need to draw two separate curved lines horizontally. Each line will start at the ends of the squiggly line previously made. These lines together should create almost an hourglass shape. The bottom of this horizontal ?hourglass? should be the vertical squiggly line and the top (right side) should be left open for now.

Geometry

Subject: 
Geometry
Rating: 
0
No votes yet
Tags: 
geometry
Triangles
Triangle geometry
Euclidean plane geometry
Polygons
Quadrilaterals
Triangle
Euclidean geometry
Rectangle
Angle
Area
Circle

GRADUATE RECORD EXAMINATIONS? Math Review Chapter 3: Geometry Copyright ? 2010 by Educational Testing Service. All rights reserved. ETS, the ETS logo, GRADUATE RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. ?

Geometry

Subject: 
Geometry
Rating: 
0
No votes yet
Tags: 
geometry
Triangles
Triangle geometry
Euclidean plane geometry
Polygons
Quadrilaterals
Triangle
Euclidean geometry
Rectangle
Angle
Area
Circle

GRADUATE RECORD EXAMINATIONS? Math Review Chapter 3: Geometry Copyright ? 2010 by Educational Testing Service. All rights reserved. ETS, the ETS logo, GRADUATE RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. ?
Subscribe to RSS - Circle

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!