Circle Stuff Notes

Question 1

What is a Circle?

Answer 1

The set of all points equidistant from a centerpoint

Question 2

What is the Centerpoint and what is the label of it?

Answer 2

It is the center of a circle and is labeled with a capital C

Question 3

What is the radius?

Answer 3

A segment that connects the center to any point on the circle.

Question 4

What is the Chord?

Answer 4

A segment whose endpoints are on the circle.

Question 5

What is the diameter?

Answer 5

A chord that goes through the center of the circle.

Question 6

What is the Secant?

Answer 6

A line that intersects a circle at two points

Question 7

What is the Tangent?

Answer 7

A line that intersects a circle at one point.

Question 8

What is the area of a circle formula?

Answer 8

A=πr2

Question 9

How do you label a circle?

Answer 9

(.) and the letter

Question 10

If you have a minor arc, and you move the angle of the arc further away from the points, what happens to the angle?

Answer 10

The further away the arc is from the points, the lesser the angle.

Question 11

What is an arc?

Answer 11

A part of a circle whose measure is equal to the corresponding angle (central angle).

Question 12

What is the central angle?

Answer 12

An angle whose vertex is on the center of the circle.

Question 13

What is the minor arc

Answer 13

An arc whose measure is less than 180 degrees. The measure of the arc is equal to the central angle that intercepts it.

Question 14

What is the major arc?

Answer 14

An arc whose measure is more than 180 degrees

Question 15

What is the Semicircle?

Answer 15

Half of a circle; an arc whose measure is exactly 180 degrees; has to be made up of 3 points

Question 16

How many points should you name for a minor arc on a circle?

Answer 16

2 points (only the ones on the edge)

Question 17

How many points should you name for a major arc on a circle?

Answer 17

3 points (1st point, random point along the arc, 3rd/endpoint)

Question 18

How do you label an arc?

Answer 18

With an upside down line (arced line)

Question 19

How do you label a semi-circle?

Answer 19

Same as a major arc: 3 points (1st point, random point along the arc, 3rd/endpoint)

Question 20

What is an inscribed angle?

Answer 20

Angle whose vertex is on a circle and whose sides contain chords of a circle

Question 21

What is intercepted arc?

Answer 21

Arc between two sides and the inscribed angle

Question 22

What does subtend refer to?

Answer 22

intercepted arcs subtend the inscribed angle

Question 23

What happens if two or more inscribed angles of a circle intercept the same arc?

Answer 23

The angles are congruent.

Question 24

What happens if an inscribed angle intercepts a semicircle?

Answer 24

The inscribed angle is 90 degrees

Question 25

If all the vertices of a quadrilateral are inscribed/on the circle, then what does this mean?

Answer 25

Opposite angles are supplementary (180)

Question 26

What is an inscribed angle?

Answer 26

An angle whose vertex is “on” the circle

Question 27

What is an Interior angle?

Answer 27

An angle whose vertex is in the interior of a circle

Question 28

What is an exterior angle?

Answer 28

An angle whose vertex is in the exterior of a circle

Question 29

What is the formula for a central angle?

Answer 29

Angle=Arc

Question 30

What is the formula for an inscribed angle?

Answer 30

Angle=1/2 times the arc

Question 31

What is the formula for an interior angle?

Answer 31

1/2(2 arcs added together)

Question 32

What is the formula for an exterior angle?

Answer 32

1/2(difference of both arcs)