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Area Calculations for Various Shapes: Ellipses, Circles, Triangles, and Parabolas, Study notes of Engineering

University of Puerto Rico in PonceEngineering

Formulas and calculations for the areas of various shapes including triangles, quarter-circles, semicircles, parabolas, and ellipses. It also includes areas for circular sectors, segments, arcs, and spandrels.

What you will learn

  • What is the area of a semicircle?
  • How do you calculate the area of a quarter-circle?
  • What is the formula for the area of a triangle?

Typology: Study notes

2021/2022

Uploaded on 09/27/2022

gwen
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Centroids of Common Shapes
Shapes Images Area
Triangular Area
Quarter–circular area
Semicircular area 0
Semiparabolic area
Parabolic area 0
Parabolic spandrel
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Download Area Calculations for Various Shapes: Ellipses, Circles, Triangles, and Parabolas and more Study notes Engineering in PDF only on Docsity!

Centroids of Common Shapes

Shapes Images Area

Triangular Area

Quarter–circular area

Semicircular area 0

Semiparabolic area

Parabolic area 0

Parabolic spandrel

Circular Sector 0

Quarter-circular arc

Semicircular arc 0

Arc of circle 0

ia

The area between the curve and the axis, from to The area between the curve and the axis, from to The area between the curve (in polar coordinates) and the pole, from to

The points on the circle and in the first quadrant The points on the circle and above the axis The points on the curve (in polar coordinates) , from to

Parabolic spandrel

General spandrel

Circular sector

Circular segment

Quarter-circular arc Semicircular arc

Arc of circle