1. The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is

2. A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

3. In the given figure, BOC is a diameter of a circle and AB = AC. Then, ∠ABC =

4. In the given figure, O is the centre of a circle. If ∠OAB = 40° and C is a point on the circle, then ∠ACB =

5. In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD and AB = 10 cm, then CD =

6. In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle in D. If ∠ACD = 25°, then ∠AOD =

7. In the given figure, AB is a chord of a circle with centre O and BOC is a diameter. If OD ⊥ AB such that OD = 6 cm, then AC =

8. An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is

9. In the given figure, ΔABC and ΔDBC are inscribed in a circle such that ∠BAC = 60° and ∠DBC = 50°. then, ∠BCD =

10. In the given figure, O is the centre of a circle. If ∠AOB = =100° and ∠AOC = 90°, then ∠BAC =