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CBSE Class 9 Triangles, Circles and Geometry — practice questions — page 2

Explore 50 free Triangles, Circles and Geometry questions in CBSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Triangles, Circles and Geometry questions and exercises with answers

Showing questions 31–50 of 50.

If the radius of a circle is doubled, its area becomes:Read the answer and worked solution →Area of a circle with radius 7 cm? (Use π = 22/7)Read the answer and worked solution →Circumference of a circle with diameter 14 cm (π = 22/7):Read the answer and worked solution →Volume of a cube with side 5 cm:Read the answer and worked solution →Pythagoras: hypotenuse of a right triangle with legs 6 and 8.Read the answer and worked solution →Sum of angles of a triangle:Read the answer and worked solution →Area of an equilateral triangle with side 4 cm:Read the answer and worked solution →Two figures are said to be similar if they haveRead the answer and worked solution →All circles areRead the answer and worked solution →All squares with different side lengths areRead the answer and worked solution →The criterion that uses two pairs of equal angles to prove triangle similarity is calledRead the answer and worked solution →In two similar triangles, the ratio of corresponding sides is calledRead the answer and worked solution →Pythagoras theorem applies to which triangles?Read the answer and worked solution →In triangle ABC, DE is parallel to BC where D lies on AB and E on AC. If AD = 2 cm, DB = 3 cm and AE = 4 cm, then EC equalsRead the answer and worked solution →Two triangles have areas in the ratio 49 : 64. The ratio of their corresponding sides isRead the answer and worked solution →A vertical pole 6 m tall casts a shadow 4 m long at the same time a tower casts a shadow 28 m long. The height of the tower isRead the answer and worked solution →In a right triangle the legs measure 9 cm and 12 cm. The hypotenuse isRead the answer and worked solution →If two triangles are similar and the ratio of their perimeters is 3 : 5, then the ratio of their areas isRead the answer and worked solution →In triangle ABC, AD bisects angle A and meets BC at D. If AB = 6 cm, AC = 9 cm and BC = 10 cm, then BD equalsRead the answer and worked solution →The hypotenuse of a right triangle is 26 cm and one leg is 24 cm. The other leg isRead the answer and worked solution →

Worked practice questions

If the radius of a circle is doubled, its area becomes:

  1. double
  2. triple
  3. 4 times
  4. 8 times
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Correct answer: C. 4 times

1. Area of circle = πr². 2. If r becomes 2r, new area = π(2r)² = 4πr². 3. Therefore 4 times the original area. _Source: KMAT Karnataka 2022 PYQ Q.73_

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Area of a circle with radius 7 cm? (Use π = 22/7)

  1. 22 cm²
  2. 144 cm²
  3. 49 cm²
  4. 154 cm²
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Correct answer: D. 154 cm²

1. Area = πr² = (22/7) · 49. 2. = 22 · 7 = 154. _Source: TSICET 2024 PYQ Q.107 (Shift 1, Geometry)_

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Circumference of a circle with diameter 14 cm (π = 22/7):

  1. 28 cm
  2. 44 cm
  3. 88 cm
  4. 21 cm
Show answer and solution

Correct answer: B. 44 cm

1. Circumference = π·d = 22/7 · 14. 2. = 22 · 2 = 44. _Source: TSICET 2024 PYQ Q.108 (Shift 1, Geometry)_

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