Geometric Properties

This page lists the geometric properties of some shapes and circle theorems. It is divided into five groups. Click on a button to view group shapes and their properties.


2D Shapes

2D Shapes area and perimeter.

Geomentic Shape
 Area Perimeter
Name Shape
Square
 square Area of square Square Perimeter
Rectangle
 Rectangle Rectangular Area rectangular perimeter
Triangle
 Triangle Triangle area Triangle perimeter
Parallelogram
 Parallelogram Parallelogram area Parallelogram perimeter
Trapezoid
 Trapezoid Trapezoid area Trapezoid perimeter
Rhombus
 Rhombus Rhombus Area Rhombus perimeter
Kite
 Kite Kite area Kite perimeter
Quadrilateral
 Quadrilateral Quadrilateral area Quadrilateral perimeter
Regular Polygon
 Regular Polygon Regular Polygon Area Regular Polygon Perimeter

3D Shapes

3D Shapes surface area and volume

Geomentic Shape
 Volume surface Area
Name Shape
Cube
 Cube Cube volume Cube surface area
Cuboid
 cuboid cuboid volume cuboid surface area
Tetrahedron
 Tetrahedron Tetrahedron Volume Tetrahedron Surface Area
Rectangular
Pyramid
 Pyramid Pyramid volume Pyramid surface area
Regular
Pyramid
 Regular Pyramid Pyramid Volume Regular Pyramid Surface Area
Frustum of
Regular Pyramid
 Frustum of Regular Pyramid Frustum of Regular Pyramid Volume Frustum of Regular Pyramid Lateral Area
Rectangular
Right Wedge
 Rectangular Right Wedge Rectangular Right Wedge Rectangular Right Wedge Surface Area
Cylinder
 Cylinder Cylinder volume Cylinder surface area
Cone
 Cone Cone volume Cone surface area
Frustum
 Frustum Frustum volume Frustum surface area
Torus
 Torus Torus volume Torus surface area
Sphere
 Sphere Sphere volume Sphere surface area

Circle

Circle and ellipse properties and definitions.

Part Name
 Shape Notes
Circle circle circle definition
circle Area and Circumference
Arc Arc Major Minor Arc
Arc Length
Arc Length
Sector Circle Sector Major Minor Sector
Arc Area
Segment Segment Major Minor Segment
Segment Area
Ellipse
 Ellipse Ellipse Area and Perimeter
Annulus Anuulus Annulus Area and Perimeter
Crescent 1 Crescent Crescent Area and Perimeter
Crescent 2 Crescent Crescent Area and Perimeter

Circle Theorems

There are 8 theorms for the circle

Theorem No.
 Shape Theorem
Theorem 1

Angles at
Centre and
Circumference 		Circle Theorem 1 Circle Theorem 1
Theorem 2

Angles in
Semi-Circle 		Circle Theorem 2 Circle Theorem 2
Theorem 3

Angles in the
same segemnt 		Circle Theorem 3 Circle Theorem 3
Theorem 4

Angles in
cyclic quadrilateral 		Circle Theorem 4 Circle Theorem 4
Theorem 5

Alternate
angles 		Circle Theorem 5 Circle Theorem 5
Theorem 6

Angle between
tangent and radius 		Circle Theorem 6 Circle Theorem 6
Theorem 7

Lengths of two
tangents 		Circle Theorem 7 Circle Theorem 7
Theorem 8

Perpendicular
from centre
bisects chord 		Circle Theorem 8 Circle Theorem 8

Sphere

Surface area and volume for the sphere and parts of the sphere.

Geomentic Shape
 Volume surface Area
Name Shape
Sphere
Sphere Sphere volume Sphere surface area
Sphere
Cap
 Sphere Cap Sphere Cap Volume Sphere Cap Total Surface Area
Sphere
Sector 1
Sphere Sector Sphere Sector Volume Sphere Sector Surface Area
Sphere
Sector 2
 Sphere Sector Sphere Sector Volume Sphere Sector Surface Area
Sphere
Segment
 Sphere Segement Sphere Segement Volume Sphere Segment Total Surface Area
Sphere
Wedge
 Sphere Wedge Sphere Wedge Volume Sphere Wedge Surface Area