Geometry — Perimeter, Area, Circumference & Volume - Concept Map
Geometric Measurements
Related concepts
Perimeter
Sub concepts
- Square perimeter: P = 4s
- Rectangle perimeter: P = 2(L + W)
- Triangle perimeter: P = a + b + c
- Regular polygon perimeter: P = n × side length
- Irregular polygon perimeter: sum of all sides
Relationship to central
Linear measurement around the boundary of 2D shapes
Area
Sub concepts
- Square area: A = s²
- Rectangle area: A = L × W
- Triangle area: A = ½bh
- Parallelogram area: A = bh
- Trapezoid area: A = ½(a+b)h
- Circle area: A = πr²
Relationship to central
Surface measurement inside 2D shapes measured in square units
Circumference
Sub concepts
- Circumference formula: C = 2πr or C = πd
- Radius relationship: r = d/2
- Diameter relationship: d = 2r
- Pi constant: π ≈ 3.14
Relationship to central
Perimeter measurement specifically for circles
Volume
Sub concepts
- Cube volume: V = a³
- Rectangular prism: V = L × W × H
- Cylinder volume: V = πr²h
- Sphere volume: V = (4/3)πr³
- Pyramid volume: V = (1/3) × base area × height
- Cone volume: V = (1/3)πr²h
Relationship to central
Space measurement inside 3D shapes measured in cubic units
Concept connections
- PerimeterCircumferenceCircumference is the perimeter of a circle
- AreaVolumeVolume calculations often use area of base times height
- RadiusDiameterDiameter is twice the radius: d = 2r
- 2D Shapes3D Shapes3D shapes are built from 2D cross-sections and bases
- SquareCubeCube is a 3D extension of a square with equal sides
- RectangleRectangular PrismRectangular prism extends rectangle into 3D with height
- CircleCylinderCylinder has circular cross-sections with height
- CircleSphereSphere is a 3D shape where all points are equidistant from center
- TrianglePyramidPyramid has triangular faces meeting at apex
- Pi constantCircle formulasPi is essential for all circle-related calculations
- Base areaVolume formulasMany volume formulas multiply base area by height
- Regular polygonsPerimeter calculationRegular polygons have predictable perimeter patterns
Diagrams
Complete Geometry Measurements Concept Map
Comprehensive overview showing all geometric measurement concepts and their relationships, organized by 2D and 3D shapes
Problem Solving Process for Geometric Measurements
Step-by-step flowchart for solving geometric measurement problems, showing decision points and formula selection
Formula Selection Guide
Quick reference guide for selecting the correct formula based on shape type and measurement needed
Common Exam Question Distribution
Distribution of different geometry problem types commonly found in Philippine exams like UPCAT, CSE, and other standardized tests