Circles-Sample Papers
Class IX Math
Test for Circle
Test for Circle
Total Marks: 25
Total Time: 40 mins
1. In the figure, if ∠ACB = 35°, then find the measure of ∠OAB.
(1 Mark)
2. The diameter of circle is 3.8 cm. Find the length of its radius.
(2 Marks)
3. In the adjoining figure, O is the centre of the circle. The chord AB = 10 cm is such that OP �� AB. Find the length of AP.
(2 Marks)
4. AB and CD are two parallel chords of a circle which are on opposite sides of the centre such that AB = 24 cm and CD = 10 cm and the distance between AB and CD is 17 cm. Find the radius of the circle.
(3 Marks)
5. If O is the centre of the circle, then find the value of x.
(2 Marks)
6. The radius of a circle is 17 cm. A chord of length 30 cm is drawn. Find the distance of the chord from the centre.
(2 Marks)
7. 7. Look at the adjoining figure. If O is the centre of the circle and ST = 3 cm, then find the radius of the circle when RS ⊥ PQ.
(4 Marks)
8. An equilateral triangle is inscribed in a circle. Find the radius of the circle.
(4 Mark)
9. In the figure, 
P and Q are the mid-points of AB and CD respectively. What is the length of OQ?
P and Q are the mid-points of AB and CD respectively. What is the length of OQ?(3 Marks)
10. In the figure, R is the midpoint of 
What is the measure of ∠ORQ?
What is the measure of ∠ORQ?(2 Marks)
