1. Central Angle
Vertex ON circle
Vertex INSIDE circle
Vertex OUTSIDE circle

3. Time to make a
Wheel of Formulas

4. Cut out
this part.

5. Central Angle
Vertex ON circle
Vertex INSIDE circle
Vertex OUTSIDE circle
Write your
name here.

6. Case I: Vertex is ON the circle
ANGLE
ARC
ARC
ANGLE

7. Ex. 1 Find m1. A B 1
124° C
m < 1 = 62º

8. Ex. 2 Find m1. 1
84°
m <1 = 42º

9. 108°
Ex. 3 Find m1. 1
m < 1 = 126º

10. Case II: Vertex is inside the circle
ARC B
ANGLE D
ARC C
Looks like a PLUS sign!

11. Ex. 4 Find m1.
93° A B 1 D C
113°
m < 1 = 103º

12. Ex. 5 Find mQT. N Q
84º
92º M T
m QT = 100º

13. Case III: Vertex is outside the circle
ANGLE
small ARC A
LARGE ARC D B
LARGE ARC
LARGE ARC
small ARC
ANGLE
small ARC
ANGLE

14. Ex. 6 Find m1. 1
15° A D
65° B
m < 1 = 25º

15. Ex. 7 Find mAB. A
27°
70° B
mAB = 16º

16. Ex. 8 Find m1.
260° 1
m < 1 = 80º