ICSE Board Practice

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ICSE Grade X - Angle Properties of a Circle

Question 1

1.	Find the missing angle in the following figure?
	15° 30° 20° 25° 45°

Question 2

2.	'J' and 'K' are centres of circles of radii 3 cm and 17 cm such that JK = 26 cm and 'L' is the centre of the circle of radius 'r' cm which touches the above circles externally. If ∠JLK = 90°, find 'r'
	7 cm 8 cm 6 cm 5 cm 9 cm

Question 3

3.	If a chord AB = 19 cm is drawn in a circle with radius OA = 11 cm, find its distance from the centre of the circle
	4.55 cm 6.55 cm 7.55 cm 5.55 cm 3.55 cm

Question 4

4.	In the given figure, ABCD is a parallelogram. The circumcircle of △ABC cuts CD at E. Given ∠ADE = 76°, find ∠DAE
	28° 38° 33° 58° 43°

Question 5

5.	O is the centre of the circle. If ∠JKL = 117.5°, find ∠LOM
	85° 55° 70° 60° 65°

Question 6

6.	In the given figure, DG & EF are two chords of equal length. Given ∠OEF = 52°, find ∠DOG
	76° 81° 106° 86° 91°

Question 7

7.	In the given figure, O is the centre of the circle. If ∠NLM = 62° and ∠JKN = 83°, find ∠LNM
	50° 40° 65° 35° 45°

Question 8

8.	In the given figure, O is the centre of the circle. If ∠BCO = 16° and ∠OEB = 36°, find ∠COE
	114° 134° 109° 119° 104°

Question 9

9.	In the given figure, O is the centre of the circle. If ∠CFD = 62° and ∠CBE = 72°, find ∠BED
	61° 51° 46° 56° 76°

Question 10

10.	In the given figure, O is the centre of the circle. If ∠BEC = 41° and ∠OBE = 22°, find ∠DCE
	127° 142° 122° 112° 117°

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