Wayground
GEO TEST Parts of Circles Vocabulary Ch.10 - Printable Mathematics Worksheets - Wayground

GEO TEST Parts of Circles Vocabulary Ch.10

21 questions

9th Grade

Mathematics

This free Grade 9 mathematics printable worksheet builds vocabulary for parts of circles through 21 multiple-choice, fill-in-the-blank-style questions. Students identify and distinguish a circle, radius, chord, diameter, secant, tangent, and point of tangency, then apply definitions for central angles, inscribed angles, arcs, minor arcs, major arcs, and semicircles. The worksheet also checks recognition of the area and circumference formulas, including A = πr² and C = 2πr. Use it to introduce or review circle terminology before students begin diagram-based reasoning, arc measures, or circle calculations. The multiple-choice format gives students practice selecting precise geometric definitions from closely related terms, making it useful for independent practice, homework, or a vocabulary check. A complete answer key is included so teachers can review misconceptions efficiently. The worksheet is free to print and is designed for Grade 9 mathematics instruction.

Worksheet settings

Font size

S
M
L
XL
Worksheets

GEO TEST Parts of Circles Vocabulary Ch.10

Total questions: 21

Name
Class
Date
1.

Fill in the blank: The set of points equidistant from a given point (the center) is called a _______.

a)

circle

b)

square

c)

triangle

d)

rectangle

2.

Fill in the blank: A segment with endpoints at the center and on the circle is called a _______.

a)

chord

b)

radius

c)

diameter

d)

tangent

3.

Fill in the blank: A segment with endpoints on the circle is called a _______.

a)

chord

b)

radius

c)

diameter

d)

tangent

4.

Fill in the blank: A chord that passes through the center is called a _______.

a)

diameter

b)

radius

c)

tangent

d)

secant

5.

Fill in the blank: A line that intersects the circle in two places is called a _______.

a)

secant

b)

tangent

c)

radius

d)

diameter

6.

Fill in the blank: A line that intersects the circle at exactly one place is called a _______.

a)

tangent

b)

secant

c)

chord

d)

diameter

7.

Fill in the blank: The point at which the tangent line intersects the circle is called the _______.

a)

point of tangency

b)

center

c)

radius

d)

diameter

8.

What is a central angle?

a)

An angle whose vertex is at the center of a circle and two sides that are radii.

b)

An angle that measures 90 degrees

c)

An angle that measures 180 degrees

9.

What is an inscribed angle?

a)

An angle with a vertex on the circle and two sides that are chords.

b)

An angle formed by two radii in a circle.

c)

An angle formed by a tangent and a chord.

d)

An angle formed by two secants in a circle.

10.

What is an arc?

a)

A portion of the edge of the circle defined by two endpoints.

b)

A straight line connecting two points

c)

A closed loop

d)

A three-dimensional shape

11.

What is a minor arc?

a)

An arc that is smaller than a semicircle (180°)

b)

An arc that is exactly a semicircle (180°)

c)

An arc that is larger than a semicircle (180°)

d)

An arc that is a full circle (360°)

12.

What is a major arc?

a)

An arc that is larger than a semicircle (180°)

b)

An arc that is smaller than a semicircle (180°)

c)

An arc that is exactly a semicircle (180°)

d)

An arc that is a straight line (180°)

13.

What is a semicircle?

a)

A half of a circle (180°)

b)

A quarter of a circle (90°)

c)

A full circle (360°)

d)

A triangle

14.

What is the formula for the area of a circle?

a)

A=πr²

b)

A=2πr

c)

A=πd

d)

A=r²

15.

What is the formula for the circumference of a circle?

a)

C=2πr

b)

C=πr²

c)

C=r²

d)

C=2πd

16.

What is represented by this image?

a)

Secant

b)

Chord

c)

Radius

d)

Diameter

17.

What is represented by this image?

a)

Secant

b)

Chord

c)

Radius

d)

Diameter

18.

What is represented by this image?

a)

Secant

b)

Chord

c)

Radius

d)

Tangent

19.

What is represented by this image?

a)

Secant

b)

Chord

c)

Radius

d)

Tangent

20.

What is represented by this image?

a)

Secant

b)

Chord

c)

Radius

d)

Tangent

21.

What is represented by this image?

a)

Circle

b)

Semicircle

c)

Minor Arc

d)

Major Arc

Answer Key

GEO TEST Parts of Circles Vocabulary Ch.10

Total questions: 21

1.
a)

circle

2.
b)

radius

3.
a)

chord

4.
a)

diameter

5.
a)

secant

6.
a)

tangent

7.
a)

point of tangency

8.
a)

An angle whose vertex is at the center of a circle and two sides that are radii.

9.
a)

An angle with a vertex on the circle and two sides that are chords.

10.
a)

A portion of the edge of the circle defined by two endpoints.

11.
a)

An arc that is smaller than a semicircle (180°)

12.
a)

An arc that is larger than a semicircle (180°)

13.
a)

A half of a circle (180°)

14.
a)

A=πr²

15.
a)

C=2πr

16.
c)

Radius

17.
d)

Diameter

18.
b)

Chord

19.
a)

Secant

20.
d)

Tangent

21.
b)

Semicircle

FAQs

What does this worksheet cover, and how does it help students learn circle vocabulary?

This Grade 9 worksheet uses 21 multiple-choice, fill-in-the-blank-style items to distinguish circle terms such as radius, chord, diameter, secant, tangent, and point of tangency. It also asks students to identify central and inscribed angles, classify minor arcs, major arcs, and semicircles, and recognize the area and circumference formulas, strengthening the precise vocabulary needed for later circle geometry.

How can I use this worksheet to teach parts of circles and their definitions?

Introduce the worksheet by displaying a circle and labeling its center, radius, chord, diameter, secant, and tangent before students work independently. As students answer the multiple-choice items, ask them to explain which feature in a definition distinguishes a radius from a chord, or a secant from a tangent, then use the arc and angle questions to connect vocabulary with circle diagrams.

What mistakes should I watch for when students complete this circle vocabulary worksheet?

Students may confuse a radius with a chord, overlook that a diameter is a chord passing through the center, or reverse the definitions of a secant and tangent based on whether a line intersects the circle twice or once. Watch also for confusion between central and inscribed angles, between minor and major arcs, and between the area formula A = πr² and the circumference formula C = 2πr.

How do I assign and grade this circle vocabulary worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 21 multiple-choice items. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How can I differentiate this worksheet for students learning circle terminology?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the multiple-choice definitions easier to scan, and enable a dyslexia-friendly font when helpful. You can also translate the circle-vocabulary worksheet into another language so students can access terms such as radius, tangent, arc, and semicircle more confidently.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.