INSCRIBED ANGLES

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INSCRIBED ANGLES

ARCS of a Circle

ARCS of a Circle

BC CD

AD ABC

The measure of an arc is the

measure of its central angle.


D ●

90°

A


● P

Minor Arc:

Semi Circle:


C

2 Special Arcs

Central Angle

mAPC90 mAD 90

mDC 180


On the circle

Formed by 2

intersecting chords

and vertex


Inscribed ACB

Intercepted

arc AB

B

A

C


Inscribed = ½

the measure of its

intercepted arc.


VERTEX ON THE CIRCLE:

½

arc

120° 60°


Find x.

x

x = 75°

150°

x

40°

x = 80°


120°

60°

60°


Draw and label 3 inscribed angles.

100°


An

inscribed in a

semicircle is a right .

BC

is a diameter

90

180


Tangent and any chord:


= ARC

½

240°

120°


Find x.

x = 50°

x

100°

x

130°

x = 260°

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