1. Prove that the central angle subtended by an arc of a circle is twice any inscribed angle subtended by the same arc.

2. Prove that the central angle subtended by an arc of a circle is twice any inscribed angle subtended by the same arc.

3. Prove that the central angle subtended by an arc of a circle is twice the inscribed angle subtended by the same arc.

4. Prove that the central angle subtended by an arc of a circle is twice the inscribed angle subtended by the same arc.

5. The central angle subtended by an arc of a circle is twice any inscribed angle subtended by the same arc.

6. An inscribed angle subtended by the same arc is half of the central angle subtended by that arc.

7. Prove that the angle subtended by an arc at the center of a circle is twice the angle subtended by the same arc at any point on the circumference.

8. The central angle subtended by an arc of a circle is twice the inscribed angle subtended by the same arc—prove it.

9. Prove that the angle subtended at the center by an arc of a circle is twice the angle subtended by the same arc at any point on the circle.

10. Prove that the central angle subtended by the same arc is twice the inscribed angle.

11. The central angle formed by an arc of a circle is twice any inscribed angle formed by the same arc—prove it.

12. Prove that the angle subtended at the center of any circle by an arc is double the angle subtended by the same arc at any point on the remaining part of the circle.

13. Prove that the angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the remaining part of the circumference.

14. If the central angle of a circle centered at point O is 300°, then the angle subtended at the circumference by the same arc will be 60°.

15. The measure of all inscribed angles subtended by the same arc in a circle is equal.

16. The radius of a circle is 28 cm. What is the circular measure of the central angle subtended by an arc of length 5.5 cm in that circle?

17. Prove that all angles subtended by the same arc of a circle are equal.

18. The radius of a circle is 28 cm. What is the radian measure of the central angle subtended by an arc of length 5.5 cm on this circle?

19. If the radius of a circle is 7 cm, then what will be the radian measure of the central angle subtended by an arc of length 5.5 cm?

20. Prove that all angles subtended by the same arc at the circumference of a circle are equal.

21. The radius of a circle is 28 cm. Find the radian measure of the central angle subtended by an arc of length 5.5 cm.

22. The diameter of a circle is 28 cm. What is the radian measure of the central angle subtended by an arc of length 5.5 cm?

23. If the radius of a circle is 7 cm, then find the radian measure of the central angle subtended by an arc of length 5.5 cm.

24. If the circle drawn by Shubho has a radius of 7 cm, then calculate and write the radian measure of the central angle subtended by an arc of length 5.5 cm on that circle.

25. If the radius of a circle is 6 cm, calculate and write the radian measure of the central angle subtended at the center by an arc of length 15 cm.

26. The radius of a circle is 28 cm. In this circle, calculate and write the radian measure of the central angle subtended by an arc of length 5.5 cm.

27. If two angles subtended by two arcs of the same circle are equal, then the lengths of the arcs are —.

28. If O is the circumcenter of an equilateral triangle, then the central angle subtended by any one of its sides is _____________.

29. If the angles subtended by two arcs of the same circle are equal, then the lengths of the arcs are --------.

30. The angle subtended at the center of a circle by equal arcs is ------