ICSE Class 10th Mathematics Chapter 17 - Circles Important Questions with Answers

You should focus on solving ICSE Class 10th Mathematics Chapter 17: Circles important questions, especially to help you score high marks. By solving ICSE Class 10th Mathematics 17 questions, you will be solving exam-oriented questions only.
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Prepare thoroughly with the most important questions of ICSE Class 10th Mathematics Chapter 17 - Circles. You can first cover the ICSE Class 10th Mathematics syllabus to understand the key topics and then start solving the ICSE Class 10th Mathematics Chapter 17 - Circles Important Question to get a better understanding of your preparation level. Start practicing now.

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Question 1.

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In the given figure, O is the centre of the circle. ?OAB and ?OCB are 30° and 40° respectively. Find ?AOC . Show your steps of working.

Question 2.

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In the given figure, ?BAD = 65°, ?ABD = 70°, ?BDC = 45°

  1. Prove that AC is a diameter of the circle.
  2. Find ?ACB.

Question 3.

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Given O is the centre of the circle and ?AOB = 70°. Calculate the value of:

  1. ?OCA,
  2. ?OAC.

Question 4.

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In the following figure, O is the centre of the circle. Find the values of a, b and c.

Question 5.

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In the following figure, O is the centre of the circle. Find the values of a, b and c.

Question 6.

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In the following figure, O is the centre of the circle. Find the value of a, b, c and d.

Question 7.

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In the following figure, O is the centre of the circle. Find the values of a, b, c and d.

Question 8.

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In the following figure, O is the centre of the circle. Find the values of a, b, c and d

Question 9.

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In the following figure, O is the centre of the circle. Find the values of a, b, c and d.

Question 10.

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In the figure, AB is common chord of the two circles. If AC and AD are diameters; prove that D, B and C are in a straight line. O1 and O2 are the centers of two circles.

Great Job! continue working on more practice questions?

Question 1.

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In the figure, given below, find:

  1. ?BCD,
  2. ?ADC,
  3. ?ABC.

Show steps of your working.

Question 2.

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In the given figure, O is the centre of the circle. If ?AOB = 140° and ?OAC = 50°; find:

  1. ?ACB, 
  2. ?OBC, 
  3. ?OAB, 
  4. ?CBA.

Question 3.

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Calculate:

  1. ?CDB,
  2. ?ABC,
  3. ?ACB.

Question 4.

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In the figure, given below, ABCD is a cyclic quadrilateral in which ?BAD = 75°; ?ABD = 58° and ?ADC = 77°. Find:

  1. ?BDC,
  2. ?BCD,
  3. ?BCA.

Question 5.

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In the following figure, O is centre of the circle and ?ABC is equilateral.

Find: 

  1. ?ADB,
  2. ?AEB.

Question 6.

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Given: ?CAB = 75° and ?CBA = 50°. Find the value of ?DAB + ?ABD.

Question 7.

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ABCD is a cyclic quadrilateral in a circle with centre O. If ?ADC = 130°; find ?BAC.

Question 8.

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In the figure, given alongside, AOB is a diameter of the circle and ?AOC = 110°. Find ?BDC.

Question 9.

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In the following figure, O is the centre of the circle, ?AOB = 60° and ?BDC = 100°. Find ?OBC.

Question 10.

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In cyclic quadrilateral ABCD, ?DAC = 27°; ?DBA = 50° and ?ADB = 33°.

Calculate:

  1. ?DBC,
  2. ?DCB,
  3. ?CAB.

Great Job! continue working on more practice questions?

Other CISCE Board Class 10th Subjects Important Questions

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