XAT · Quantitative Ability and Data Interpretation

Geometry and mensuration

Triangles, circles, polygons, coordinate geometry, areas and volumes.

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About this topic in XAT

  • In the exam pattern: Part 1 (Verbal Ability and Logical Reasoning, Decision Making, Quantitative Ability and Data Interpretation), Quantitative Ability and Data Interpretation: 28 questions, 28 marks (XLRI notice, read 26 Oct 2026).
  • Next exam day: XAT 2027 exam: 3 Jan 2027 (Reported, xatonline.in).

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  • Q1 · Geometry and mensuration · EASY

    A circular sector of a pizza has a central angle of 60 degrees. If the radius of the pizza is 12 cm, what is the area of the sector in square centimeters?

  • Q2 · Geometry and mensuration · EASY

    In a right-angled triangle, the length of the hypotenuse is 13 cm and one of the legs is 5 cm. What is the area of the triangle in square centimeters?

  • Q3 · Geometry and mensuration · MEDIUM

    A regular hexagon has a side length of 10 cm. What is the area of the hexagon in square centimeters?

  • Q4 · Geometry and mensuration · MEDIUM

    A circle is inscribed in a square of side 20 cm. What is the area of the region outside the circle but inside the square in square centimeters?

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