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Lycée Des Arts: Areas & Perimeters of Plane Figures

This document provides formulas for calculating the areas and perimeters of various plane geometric shapes including squares, rectangles, parallelograms, rhombuses, trapezoids, triangles, circles, circular sectors, ellipses, as well as volumes of solid shapes like rectangular prisms, pyramids, cones, cylinders, spheres. It lists the name of each shape and the corresponding formulas used to find their areas, perimeters, or volumes in terms of variables like length, width, height, radius, diameter, and base.

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802 views2 pages

Lycée Des Arts: Areas & Perimeters of Plane Figures

This document provides formulas for calculating the areas and perimeters of various plane geometric shapes including squares, rectangles, parallelograms, rhombuses, trapezoids, triangles, circles, circular sectors, ellipses, as well as volumes of solid shapes like rectangular prisms, pyramids, cones, cylinders, spheres. It lists the name of each shape and the corresponding formulas used to find their areas, perimeters, or volumes in terms of variables like length, width, height, radius, diameter, and base.

Uploaded by

api-253679034
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Lycée Des Arts Mathematics 9th-Grade

Name: . . . . . . " Areas & Perimeters of Plane figures " E.S-1

Names Geometric shapes Area Perimeter

Square A = s  s = s2. P = 4s.

P = 2l + 2w
Rectangle A = l  w.
= 2 ( l + w).

P = sum of all sides.


A = b  h. OR
Parallelogram
P = 2 ( l + w).

d1  d 2
Rhombus A= . P = 4s.
2

P = (s1 + s2 ) + (b1 + b2 )
h
Trapezoid A= (b1 + b2 ).
2

1
Triangle A= (b  h ). P = sum of all sides.
2

A =   r2
C = 2  r
Circle d 2
A=  C =   d.
4

Circular A =  r2 

C = 2  r 

sector 360 360

An Ellipse A =  (a  b )

9th- Grade. Mathematics E.S-1. Areas, and Perimeters of plane figures Page 1 of 2
Volumes of solid figures
Rectangular prism Pyramid

𝑃 = 2𝑃𝐵 + 4ℎ. 1
V = B  h.
𝑉 = 𝑙 × 𝑤 × ℎ. 𝑜𝑟 𝑉 = 𝐴𝑟𝑒𝑎𝑏𝑎𝑠𝑒 × ℎ. 3
Cone Cylinder

1
V = B  h. OR V=
h
( r 2 ) V = B  h. OR V = h  r2
3 3
Sphere

4
V =  r3
3

Note that:
𝑙: 𝑙𝑒𝑛𝑔𝑡ℎ 𝑑: 𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟 𝑟: 𝑟𝑎𝑑𝑖𝑢𝑠 𝑃: 𝑝𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟
𝑤: 𝑤𝑖𝑑𝑡ℎ ℎ: ℎ𝑒𝑖𝑔ℎ𝑡 𝑉: 𝑣𝑜𝑙𝑢𝑚𝑒
𝑠: 𝑠𝑖𝑑𝑒 𝑏: 𝑏𝑎𝑠𝑒 𝐵: 𝑎𝑟𝑒𝑎 𝑜𝑓 𝑏𝑎𝑠𝑒

9th- Grade. Mathematics E.S-1. Areas, and Perimeters of plane figures Page 2 of 2

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