||parts of a circle||Chords, Arcs and Angles||

Question 1

Is a set of all points in a plane which are a given distance r from a given point on the plane.

Answer 1

Circle

Question 2

A circle is named after its center.

Answer 2

Fact

Question 3

A segment whose endpoints are the center of the circle and a point on the circle.
- The length of a radius is half a diameter.

Answer 3

Radius (Radii [plural form])

Question 4

a line segment that has its endpoints on the circle.
- a segment joining 2 points on a circle.

Answer 4

Chord

Question 5

-Is a chord that passes through the center of the circle.
-Its length is twice that of the radius.

Answer 5

Diameter

Question 6

A line segment or ray that intersects (touch) a circle at exactly one point.

Answer 6

tangent

Question 7

The point where the tangent intersects (Touch) the circle.

Answer 7

Point of tangency

Question 8

A line segment or ray that intersects a circle at exactly two points.

Answer 8

Secant

Question 9

an arc smaller than a semicircle.

Answer 9

Minor arc

Question 10

(A chord, a central angle or a inscribed angle may divide a circle into 2 arcs)

-the larger of the two arcs is called____

Answer 10

major arc

Question 11

The measure of a major and minor arc

Answer 11

major arc= greater than 180 degrees
minor arc= less than 180 degrees

Question 12

An angle whose vertex is the center of the circle

__The measure of a central angle is equal to the measure of its intercepted arc.

Answer 12

Central Angle

Question 13

a point of intersection or endpoint related to angles formed in or around the circle.

Answer 13

Vertex

Question 14

> Central Angle Vertex: The vertex of a central angle is the center of the circle.

> Inscribed Angle Vertex: The vertex of an inscribed angle is one of the points on the circle where the angle’s arms extend.

Answer 14

(Types of Vertex)

Question 15

a segment of the circle’s circumference defined by two endpoints.

Two types:
- Major arc
- Minor arc

Answer 15

Arc

Question 16

(OneNote) Formula for Central Angle: Finding Major / Minor arc

Question 17

An arc whose endpoints are the endpoints of diameter. The degree measure is 180 degrees. (Sample: OneNote)

Answer 17

Semi circle

Question 18

An angle with its vertex on the circle and it’s side contains the end points of a chord. The measure of an _______ is one-half the measure of its intercepted arc. (OneNote)

Symbol: M<

Answer 18

Inscribed angle