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Civil Service Exam (Subprofessional) Numerical AbilityGeometry — Perimeter, Area, Circumference & VolumeConcept Map

If you learn better by seeing ideas connected visually, this concept map of Geometry — Perimeter, Area, Circumference & Volume is built for you. Every Civil Service Exam (Subprofessional) Numerical Ability question draws on these relationships, so building this map mentally is half the battle when you sit for Civil Service Exam (Subprofessional) 2026.

Exam context

On the Civil Service Exam (Subprofessional) 2026, the Numerical Ability subtest carries a "~25% weightage" weight in Civil Service Commission (CSC)'s pattern. Geometry — Perimeter, Area, Circumference & Volume lands at position 8th out of 9 in the standard review order. Target score is 80%, and roughly 17 items come from Numerical Ability on a typical Civil Service Exam (Subprofessional) paper.

Geometry — Perimeter, Area, Circumference & Volume - Concept map

Central Concept

Geometric Measurements

Related Concepts

Concept

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

Concept

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

Concept

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

Concept

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

To

Circumference

From

Perimeter

Strength

strong

Relationship

Circumference is the perimeter of a circle

To

Volume

From

Area

Strength

strong

Relationship

Volume calculations often use area of base times height

To

Diameter

From

Radius

Strength

strong

Relationship

Diameter is twice the radius: d = 2r

To

3D Shapes

From

2D Shapes

Strength

strong

Relationship

3D shapes are built from 2D cross-sections and bases

To

Cube

From

Square

Strength

strong

Relationship

Cube is a 3D extension of a square with equal sides

To

Rectangular Prism

From

Rectangle

Strength

strong

Relationship

Rectangular prism extends rectangle into 3D with height

To

Cylinder

From

Circle

Strength

strong

Relationship

Cylinder has circular cross-sections with height

To

Sphere

From

Circle

Strength

strong

Relationship

Sphere is a 3D shape where all points are equidistant from center

To

Pyramid

From

Triangle

Strength

moderate

Relationship

Pyramid has triangular faces meeting at apex

To

Circle formulas

From

Pi constant

Strength

strong

Relationship

Pi is essential for all circle-related calculations

To

Volume formulas

From

Base area

Strength

strong

Relationship

Many volume formulas multiply base area by height

To

Perimeter calculation

From

Regular polygons

Strength

moderate

Relationship

Regular polygons have predictable perimeter patterns

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