Classes IX & X Mathematics

Chapter 9: Circles

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Worksheet Details:

  • Title: Class IX Math: Circles Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class IX Mathematics: Circles

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Double Angle Theorem
\theta_{center} = 2 \theta_{boundary}
Cyclic Quadrilateral interior sum
A + C = 180^\circ \land B + D = 180^\circ

Section II: Answer the Questions

1. (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)

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2. The radius and height of a cone are in the ratio 3 : 4. If its volume is 301.44 cm3, what is its radius? (Use = 3.14)

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3. A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m (i) How many students can sit in the tent if a student, on an average, occupies 5/7 m2 on the ground? (ii) Find the volume of the cone.

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4. In the given figure, O is the centre of circle. Find ∠AQB, given that PA and PB are tangents to the circle and ∠APB = 75°.

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5. In the given below left figure, AB is a diameter of the circle with centre O. AQ, BP and PQ are tangents to the circle. Prove that ∠POQ = 900.

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