Class 9 Math: Circles Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 9 Circles to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

Given a circle of radius 5 cm and centre O. OM is drawn perpendicular to the chord XY. If OM =3 cm, then length of chord XY is
  • Option 1: 4 cm
  • Option 2: 6 cm
  • Option 3: 8 cm
  • Option 4: 10 cm

Solution Explanation & Steps: (c) 8 cm

Question 2 (EASY)

In the given figure, O is centre of the circle, ∠BAO = 68°, AC is diameter of the circle, then measure of ∠BCO is
  • Option 1: 22°
  • Option 2: 33°
  • Option 3: 44°
  • Option 4: 68°

Solution Explanation & Steps: (a) 22°

Question 3 (HARD)

(a) The circumference of the base of 10 m high conical tent is 44 m. Calculate the length of canvas used in making the tent, if width of canvas is 2 m. (3) (b) Into a conical tent of radius 8.4 m and vertical height 3.5 m, how many full bags of wheat can be emptied, if space for the wheat in each bag is 1.96 m3? (2)

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: (a) Let r m be the radius of the base of conical tent. Circumference of base of conical tent = 44 m 2 r = 44 2 × 22 7 × r = 44 r = 7 m Height of conical tent = h = 10 m Slant height of conical tent = l = 2 2r h+ l = 2 27 10 49 100 149+ = + = = 12.21 m Let x be the length of canvas used in making the tent. Area of canvas used = x × 2 m2 Also, x × 2 = rl 2x = 22 7 × 7 × 12.21 x = 11 × 12.21 = 134.31 m Required length of canvas = 134.2 m. (b) Radius of conical tent = 8.4 m Height of conical tent = 3.5 m Capacity of the conical tent = 1 3 r2h = 1 3 × 22 7 × (8.4)2 × 3.5 = 258.72 m3 Space of occupied by each bag of wheat = 1.96 m3 Number of bags = = 132

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

📚 Class 9 Math Resource Hub for Circles: • 🧮 Interactive Solver: Solve Circles Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Circles Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Circles PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Circles Key Equations - Complete revision references. • 🔄 Next Topic Guide: Heron's Formula Study Notes • 🎓 Syllabus Overview: Class 9 Mathematics Portal - Access all chapter guides.
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