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## PowerPoint Slideshow about ' 14-4 Arcs of Circles' - aqua

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### 14-4 Arcs of Circles

Learn vocabulary; Central Angle, Minor arc, Major arc, Semi circle. Learn definition of degree measure.

- Let C be a circle with center P, and let A and B be points which lie on C but are not the end points of the same diameter.
- Then the minor arc AB is the union A, B, and all points of C that lie in the interior of <APB.

A

C

P

B

- Let C be a circle with center P, and let A and B be points which lie on C but are not the end points of the same diameter.
- Then the Major arc AXB is the union A, B, and all points of C that lie in the exterior of <APB.

A

C

P

B

x

What is the intersection of major and minor arc AB and AXB? which lie on C but are not the end points of the same diameter.

What is the Union of the major and minor arc AB and AXB

- Let C be a circle, and let A and B be the end points of a diameter.
- A semicircle AXB is the union of A, B, and the points of C that lie in a given half-plane with AB as edge.

C

x

A

B

P

- (1) The degree measure of a minor arc is the measure of the corresponding central angle.

A

X

r

B

mAXB = r.

- (3) the degree measure of a major arc is equal to 360 minus the measure of the corresponding minor arc.

A

r

X

B

mAXB = 360-r

- Theorem 14-15 The Arc Addition Theorem the measure of the corresponding minor arc.
- If B is a point of AC
- then mABC = mAB + mBC.

A

B

C

Pg. 469(1,2,4-6) the measure of the corresponding minor arc.

Pg. 465(5)

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