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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
Typology: Study notes
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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:
segement formed by the crease you just made, and label this line “diameter”
creases intersect (cross) “center”.
half of this crease! The line you just drew is called the “radius”.
with a different color. This line is called the “chord”.
circle is called the “circumference”.
Math 5 Common Assessments (Revised 2016 SOLs)
SOL 5.
Diameter, radius, chord, circumference
SOL 5.
select three correct answers.
Identify each line segment that is a radius of the circle.
SOL 5.
center of the circle shown.
Which line segment is a radius
of the circle?
SOL 5.
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.
between the circumference of circle B and 𝐂𝐂𝐂𝐂
?
A The circumference of circle B is about half of CA
is about half of the circumference of circle B
C The circumference of circle B is a little more than
three times CA
is twice the circumference of circle B
SOL 5.
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.
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.
A Circumference
B Length
C Radius
D Chord
Activity 3
Common Assessment