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XAT Geometry & Mensuration Formulas
The XAT Geometry and Mensuration Formula PDF is a part of the Quantitative aptitude section of the XAT exam. Questions from these topics focus on mathematical topics such as Lines and Angles, Polygons, Coordinate Geometry Basics and Triangles, and aspirants should concentrate on these.
To practise, use XAT Geometry and Mensuration Formula PDF and take mock tests to learn the question patterns. If a student is weak in this section, it's important to learn the basic concepts thoroughly. Cracku's website contains a PDF with important formulas for XAT Geometry and Mensuration. Each question can also be answered with the help of this PDF.
Importance of XAT Geometry & Mensuration Formulas
Geometry and Mensuration are important topics in the XAT Quantitative Ability section. Students with an excellent understanding of mathematics and related concepts can solve questions more easily and do better on the exam.
Problem-Solving Ability: Many XAT Geometry and Mensuration questions require students to use formulas to solve areas, perimeters, volumes, surface areas, side lengths, and angles of different geometric figures.
Better Time Management: Understanding the important formulas makes solutions easy for students to answer questions and saves valuable time during the exam.
Improved Accuracy: Good understanding of geometric properties and mensuration formulas decreases calculation errors and increases the chances of getting the correct answer.
High-Scoring Opportunity: Geometry and Mensuration questions are normally formula-based and can provide students with a good scoring opportunities.
Increases Overall XAT Score: By continuously revising geometry and Mensuration formulas, students can improve their Quantitative Ability score and get high overall XAT percentile.
Read Also, XAT Formulas PDF, Download XAT Quant Important Formulas
Complete XAT Geometry & Mensuration Formula List
Preparing for the XAT exam requires students to master multiple maths concepts and formulas, and this list of formulas will help you. Below is a compiled list of the complete XAT Geometry & Mensuration formulas in one place to make preparation easier. The list below contains topics and their formulas of Geometry & Mensuration.
Lines & Angles
- Linear Pair: Angle 1 + Angle 2 = 180°
- Vertically Opposite Angles: ∠A = ∠C
Triangles
- Angle Sum of Triangle: ∠A + ∠B + ∠C = 180°
- Area of Triangle: ½ × Base × Height
- Heron's Formula: √[s(s − a)(s − b)(s − c)]
- Pythagoras Theorem: Hypotenuse² = Base² + Perpendicular²
Circles
- Circumference: C = 2πr
- Area of Circle: A = πr²
- Arc Length: (θ/360°) × 2πr
- Sector Area: (θ/360°) × πr²
- Chord Length: 2r sin(θ/2)
Parallelograms & Quadrilaterals
- Area of Parallelogram: A = Base × Height
- Area of Rhombus: A = ½ × d₁ × d₂
- Perimeter of Rectangle: P = 2(l + b)
- Diagonal of Rectangle: d = √(l² + b²)
Polygons
- Sum of Interior Angles: S = (n − 2) × 180°
- Each Interior Angle: [(n − 2) × 180°]/n
- Number of Diagonals: D = n(n − 3)/2
Mensuration (3D Geometry)
Cube
- Volume: V = a³
- Total Surface Area: TSA = 6a²
Cuboid
- Volume: V = lbh
- Total Surface Area: TSA = 2(lb + bh + hl)
Cylinder
- Volume: V = πr²h
- Curved Surface Area: CSA = 2πrh
- Total Surface Area: TSA = 2πr(h + r)
Cone
- Volume: V = (1/3)πr²h
- Curved Surface Area: CSA = πrl
- Total Surface Area: TSA = πr(l + r)
Sphere
- Volume: V = (4/3)πr³
- Total Surface Area: TSA = 4πr²
Hemisphere
- Volume: V = (2/3)πr³
- Curved Surface Area: CSA = 2πr²
- Total Surface Area: TSA = 3πr²
Frustum of Cone
- Volume: V = (1/3)πh(r₁² + r₁r₂ + r₂²)
Trapezium
- Area: A = ½(a + b)h
Coordinate Geometry
- Distance Formula: d = √[(x₂ − x₁)² + (y₂ − y₁)²]
- Midpoint Formula: ((x₁ + x₂)/2, (y₁ + y₂)/2)
- Slope Formula: m = (y₂ − y₁)/(x₂ − x₁)
- Slope from Line Equation: m = −A/B
- Section Formula: ((mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n))
- Area of Triangle Using Coordinates: ½ |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|
Trigonometry
- sin θ: Opposite/Hypotenuse
- cos θ: Adjacent/Hypotenuse
- tan θ: Opposite/Adjacent
- Pythagorean Identity: sin²θ + cos²θ = 1
- Complementary Angle Identity: sin(90° − θ) = cos θ
- Sine Rule: a/sin A = b/sin B = c/sin C
- Cosine Rule: a² = b² + c² − 2bc cos A
- Area of Triangle Using Trigonometry: ½ab sin C
Tips to Master Important Geometry & Mensuration Formulas for XAT
After downloading the XAT Formula PDFs, there are multiple ways through which students can master it much better. Here are some tips on how to master important geometry & mensuration formulas for XAT:
Prepare a Formula List: Using the PDF, make a personal XAT formula list with the formulas you struggle with the most.
Regular Practice: Make it a habit to revise the XAT basic formulas on a daily basis to ensure they stay in your memory.
Timed Practice: Try solving questions with a timer to become familiar with how to solve the questions swiftly and accurately during the exam.
Analyse Problem Areas: If there is a formula or a part of that formula that you find tricky, go back and reread it completely.
Read Also, XAT Exam Pattern 2027, Negative Marking, Structure, Duration
Download Cracku's Free XAT Geometry & Mensuration Formulas PDF
To help you prepare for the XAT exam, Cracku has compiled all of the XAT Geometry and Mensuration formulas in one complete PDF. Download this FREE XAT Geometry & Mensuration Formulas PDF that will help you revise the important formulas in very little time and help you increase your accuracy and solve questions faster during the exam.
Read Also, XAT Syllabus 2027, Section-wise Pattern, Download PDF
XAT Geometry & Mensuration Formulas PDF: Conclusion
The XAT Geometry & Mensuration Formulas PDF is an essential revision resource for candidates preparing for the Quantitative Ability section. Since Geometry and Mensuration consistently contribute questions in the exam, mastering important formulas related to triangles, circles, polygons, coordinate geometry, trigonometry, and three-dimensional mensuration can significantly improve problem-solving speed and accuracy.
Regular revision of the XAT Geometry & Mensuration Formulas PDF, combined with mock tests and previous year question practice, can help aspirants strengthen their conceptual understanding and maximize their scores. A strong command of these formulas not only saves valuable exam time but also improves overall performance in XAT Quantitative Ability
