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CBSE Class 9 Mensuration: Perimeter and Area — practice questions

Explore 103 free Mensuration: Perimeter and Area questions in CBSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Mensuration: Perimeter and Area questions and exercises with answers

Showing questions 1–30 of 103.

The total length around the border of a closed shape is called its:Read the answer and worked solution →The perimeter of a rectangle with length a and width b is:Read the answer and worked solution →The Greek letter that represents the ratio of a circle's circumference to its diameter is:Read the answer and worked solution →What is the perimeter of an equilateral triangle of side 7 cm?Read the answer and worked solution →The circumference of a circle of radius 7 cm (use π ≈ 22/7):Read the answer and worked solution →The area of a rectangle of length 12 cm and width 5 cm is:Read the answer and worked solution →The area of a triangle with base b and height h is:Read the answer and worked solution →A square garden of side 20 m is surrounded by a path of uniform width 1 m on the outside. The AREA of the path (only the path, not the garden) is:Read the answer and worked solution →As per your syllabus, what is the formula for the perimeter of a RECTANGLE with length a units and width b units?Read the answer and worked solution →As per your syllabus, the perimeter of a SQUARE is a special case of the perimeter of a rectangle. With side a units, what is the square's perimeter?Read the answer and worked solution →As per your syllabus, for ANY square (regardless of its size), what is the ratio of perimeter to side?Read the answer and worked solution →As per your syllabus, for ANY equilateral triangle, what is the ratio of perimeter to side?Read the answer and worked solution →As per your syllabus, what is the circumference of a circle of diameter d expressed in terms of π?Read the answer and worked solution →As per your syllabus, the circumference of a circle in terms of its radius r is given by which formula?Read the answer and worked solution →As per your syllabus, what is the length of a SEMICIRCLE of radius r?Read the answer and worked solution →As per your syllabus, what is the length of a QUARTER CIRCLE (arc) of radius r?Read the answer and worked solution →As per your syllabus, what is the length of an arc of a circle of radius r that subtends an angle of θ degrees at the centre?Read the answer and worked solution →As per your syllabus, what does it mean to say that π is an IRRATIONAL number?Read the answer and worked solution →As per your syllabus, ZU CHONGZHI's 'Close Ratio' (Milü) approximation of π is which fraction — accurate for over 800 years as the best rational approximation?Read the answer and worked solution →As per your syllabus, the digits of π that match 'How I wish I could recollect pi' (counting letters per word) are which sequence?Read the answer and worked solution →As per your syllabus, Math, what is the formula for the AREA of a rectangle with length a and width b?Read the answer and worked solution →As per your syllabus, what is the formula for the AREA of a PARALLELOGRAM with base b and corresponding height h?Read the answer and worked solution →As per your syllabus, a TRIANGLE has base 3 units and height 4 units. What is its area?Read the answer and worked solution →As per your syllabus, Math, what is the FORMULA for the sum of the first n natural numbers?Read the answer and worked solution →CLASS9 · Mathematics · Mensuration PairRead the answer and worked solution →Order the steps to find the mean of a data setRead the answer and worked solution →Which angle is larger?Read the answer and worked solution →In the sequence 11, 7, 3, the common difference is:Read the answer and worked solution →Match the sequence ideaRead the answer and worked solution →True or false about sequencesRead the answer and worked solution →

Worked practice questions

The total length around the border of a closed shape is called its:

  1. Area
  2. Perimeter
  3. Volume
  4. Radius
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Correct answer: B. Perimeter

Perimeter is the distance around the boundary of a shape. A small insect walking once around the border, without turning back, would cover the perimeter. **SI unit:** metre (or any length unit).

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The perimeter of a rectangle with length a and width b is:

  1. a + b
  2. ab
  3. 2(a + b)
  4. 2ab
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Correct answer: C. 2(a + b)

A rectangle has two equal pairs of opposite sides — length a and width b. Perimeter = a + b + a + b = 2(a + b). For a square (special case with a = b), this becomes 4a.

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The Greek letter that represents the ratio of a circle's circumference to its diameter is:

  1. α (alpha)
  2. β (beta)
  3. π (pi)
  4. σ (sigma)
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Correct answer: C. π (pi)

π (pi) is the ratio C/D, the circumference of a circle divided by its diameter. It is irrational (~3.14159…) and the same for ALL circles, regardless of size.

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More Mathematics topics

Sequences and ProgressionsCoordinate GeometryNumber SystemsPolynomials and Algebraic IdentitiesStatistics and ProbabilityTriangles, Circles and Geometry