• Home
  • Download PDF
  • Order CD-ROM
  • Order in Print
Area by Reducing to Triangles
DETERMINING  VOLUMES

Engineering Aid 3 - Beginning Structural engineering guide book
Page Navigation
  8    9    10    11    12  13  14    15    16    17    18  
Figure 1-13.-Segment and sector of a circle, A sector is a part of a circle bounded by two radii and their intercepted arc. The formula for its area is where r and n have the same designation as above. Area of Regular Polygons Figure 1-14 is a regular polygon. In any regular polygon,   the   area   is   equal   to   one-half   the perimeter of the polygon times the radius of the inscribed  circle.  This  is  expressed  in  formula  form as  follows: You can verify the above formula by dividing the polygon into equal triangles with the sides as their  bases  and  with  r  as  their  altitudes;  if  you multiply  the  areas  of  the  individual  triangles by  the  number  of  sides  in  the  polygon,  you  will arrive  at  the  above  formula. Area of an Ellipse The  derivation  of  an section  and  methods  of ellipse  from  a  conic drawing  ellipses  are Figure 1-14.-Regular polygon. explained  in  chapter  3.  An  ellipse  is  shown  in figure  1-15,  The  longer  axis,  AB,  is  called  the major axis, and the shorter axis, CD, the minor axis. Call the length of the major axis a and that of the minor axis b. The area equals the product of half the major axis times half the minor axis times  n.  In  formula  form,  it  is  stated  as 1-13 Figure  1-15.-Ellipse.







Western Governors University

Privacy Statement
Press Release
Contact

© Copyright Integrated Publishing, Inc.. All Rights Reserved. Design by Strategico.