Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Exploring Circles: Understanding Radius, Diameter, Chord, and Circumference, Study notes of Analytical Geometry

Instructions and exercises for understanding the concepts of radius, diameter, chord, and circumference in a circle. It includes folding activities to help visualize these concepts and multiple-choice questions to test comprehension.

What you will learn

  • How does the circumference of circle B compare to CA?
  • Which line segment is a radius of the circle?
  • What is the diameter of the circle?
  • How do Juan's and Erica's line segments compare?
  • Which statement is true about diameters and chords?
  • What is line segment LM?

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

anandamayi
anandamayi 🇺🇸

4.2

(9)

250 documents

1 / 10

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
R = radius & D = Diameter
Formulas: R = D ÷ 2 D = R • 2
Ex) Point A
Ex) line segments BA, Ac, & AD
Ex) line segment BC
Ex) line segment BC & EF
The diameter is a type of chord
Think perimetercircumference is about 3 times the diameter
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

Download Exploring Circles: Understanding Radius, Diameter, Chord, and Circumference and more Study notes Analytical Geometry in PDF only on Docsity!

R = radius & D = Diameter

Formulas: R = D ÷ 2 D = R • 2

Ex) Point A

Ex) line segments BA, Ac, & AD

Ex) line segment BC

Ex) line segment BC & EF

The diameter is a type of chord

Think perimeter – circumference is about 3 times the diameter

Exploring Circles Activity 1

Modified from the Virginia Department of Education

Refer to the notes page provided for vocabulary.

Directions:

  1. Cut out the circle provided
  2. Fold the circle in half and then unfold it. Use a colored pencil and a straight edge (i.e. ruler) to trace the line

segement formed by the crease you just made, and label this line “diameter”

  1. Fold the circle in half again, but not along the same fold as before. Unfold it and label the point where the two

creases intersect (cross) “center”.

  1. Use a different colored pencil and trace this new crease going from the “center” to one “edge”. You will only trace

half of this crease! The line you just drew is called the “radius”.

  1. Make one more crease, but this time make it where it does NOT go through the center. Open and trace this new line

with a different color. This line is called the “chord”.

  1. Flip your circle over and trace along the outside edge of the circle with another different color. The perimeter of a

circle is called the “circumference”.

  • Exploring Circles Activity
  • Exploring Circles Activity

Math 5 Common Assessments (Revised 2016 SOLs)

SOL 5.

Diameter, radius, chord, circumference

SOL 5.

  1. Circle a box to choose each answer you want to select. You must

select three correct answers.

Identify each line segment that is a radius of the circle.

SOL 5.

  1. Look at the circle. Point M is the

center of the circle shown.

Which line segment is a radius

of the circle?

A MN

B LO

C ON

M

N

O

L

SOL 5.

  1. Juan and Erica both drew congruent circles and marked the center points

as R. They each drew a line segment inside their circle as shown.

Juan’s Circle Erica’s Circle

Which statement best describes the line segments in Juan’s and Erica’s

circles?

A Juan’s line segment shows a diameter, and Erica’s line segment shows a radius.

B Juan’s line segment shows a diameter, and Erica’s line segment shows a chord.

C Juan’s line segment shows a radius, and Erica’s line segment shows a diameter.

D Juan’s line segment shows a chord, and Erica’s line segment shows a diameter.

SOL 5.

  1. What statement best describes the relationship

between the circumference of circle B and 𝐂𝐂𝐂𝐂

?

A The circumference of circle B is about half of CA

B CA

is about half of the circumference of circle B

C The circumference of circle B is a little more than

three times CA

D CA

is twice the circumference of circle B

SOL 5.

  1. Which statement is true?

R R

A

C B

A Chords are always diameters.

B Radii are equal to diameters.

C Diameters are about half of radii.

D Diameters are always chords.

SOL 5.

  1. Which statement is true?

A A diameter can go around the outer edge of a circle a little bit more than three

times.

B A radius is two times the circumference.

C A diameter is three times a radius.

D A radius can go around the outer edge of a circle a little bit more than three times.

SOL 5.

  1. Another name for a diameter is a _____________________.

A Circumference

B Length

C Radius

D Chord

Activity 3

Common Assessment

  1. QR, OQ, OP,
  2. A
  3. B
  4. D
  5. C
  6. C
    1. C
    2. D
    3. A
    4. D