1. Angles in Circles Review
Central angles, inscribed, tangent chord, vertex interior, vertex exterior

2. Radius
A radius is the distance from the center of the circle to a point on the circle

3. Diameter
A diameter is the distance across the circle through its center.
It is made up of two radii.
Therefore, we have two equations for the relationship between a radius and diameter

4. Central Angles
In a central angle, the vertex of the angle is on the CENTER of the circle.
vertex

5. Central Angles
The measure of the central angle is EQUAL to the measure of its intercepted arc.

6. Central Angles
Find the measure of arc HJ & arc FGH

7. Central Angles
Find the measure of arc CDE &
arc BCD

8. Central Angles
Find the measure of arc LMN & arc LNP

9. Inscribed Angles
In an inscribed angle, the vertex of the angle is on the EDGE of the circle.
vertex

10. Inscribed Angles
The measure of the inscribed angle is HALF of the measure of its intercepted arc.

11. Inscribed Angles
Solve for x and y.

12. Inscribed Triangles
If an inscribed triangles hypotenuse is the diameter of the circle, it is a right triangle.

13. Inscribed Triangles
Solve for x and y.

14. Inscribed Triangles
Solve for
x, y, and z.

15. Inscribed Quadrilaterals
The OPPOSITE angles in an inscribed quadrilateral are SUPPLEMENTARY.

16. Inscribed Quadrilaterals
Solve for x and y.

17. Inscribed Quadrilaterals
Solve for
x, y, and z.

18. Vertex : ON the circle
vertex

19. Vertex : ON the circle The rule is the same as inscribed angles.
The measure of the angle is HALF the measure of its intercepted arc.

20. Vertex : ON the circle
Solve for x and y.

21. Vertex : ON the circle
Solve for x and y.

22. Vertex : ON the circle

23. Vertex : INSIDE the circle

24. Vertex : INSIDE the circle

25. Vertex : INSIDE the circle

26. Vertex : INSIDE the circle

27. Vertex : INSIDE the circle

28. Vertex : OUTSIDE the circle

29. Vertex : OUTSIDE the circle

30. Vertex : OUTSIDE the circle

31. Vertex : OUTSIDE the circle

32. Vertex : OUTSIDE the circle

33. Vertex : OUTSIDE the circle