12

Angles in and out of the circle

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Angles in and out of the circle. O OUT. IN. What we know so far. Central angle = arc Angle ON the circle = ½ arc. Vertex is inside the circle. ARC. A. B. ANGLE. D. C. ARC. Looks like a PLUS sign!. Ex. 1 Find m 1. 93 °. A. B. 1. D. C. 113 °. Ex. 2 Find m QT . N. Q. - PowerPoint PPT Presentation

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Page 1: Angles in and out of the circle
Page 3: Angles in and out of the circle

Angles in and out of the circle

• OOUT

IN

Page 4: Angles in and out of the circle

What we know so far

• Central angle = arc

• Angle ON the circle = ½ arc

Page 5: Angles in and out of the circle

Vertex is inside the circleA

B

CD

ANGLE = (ARC + ARC)2

ANGLE

ARC

ARC

Page 6: Angles in and out of the circle

Ex. 1 Find m1. AB

CD

1

93°

113°

Page 7: Angles in and out of the circle

Ex. 2 Find mQT. NQ

TM

92o84o

Page 8: Angles in and out of the circle

Ex 3: Find x.40o

120o

xo

Page 9: Angles in and out of the circle

Vertex is outside the circle

A

B

C

D

ANGLE = (Large ARC Small ARC)2

ANGLE

LARGE ARC

small

ARC

ANGLELARGE

ARC

small ARC sm

all ARCLARGE

ARC

ANGL

E

Page 10: Angles in and out of the circle

A

B

D

1

Ex. 4 Find m1.

65°

15°

Page 11: Angles in and out of the circle

A

B

Ex. 5 Find mAB.

27°

70°

Page 12: Angles in and out of the circle

1

Ex. 6 Find m1.26