Grade 5 Mathematics
5.10
Strand: Measurement and Geometry
The student will identify and describe the diameter, radius, chord, and circumference of a circle.
Understanding the Standard
A circle is a set of points in a plane that are the same distance from a point called the center.
A chord is a line segment connecting any two points on a circle. A chord may or may not go
through the center of a circle. The diameter is the longest chord of a circle.
A diameter is a chord that goes through the center of a circle. The length of the diameter of a circle
is twice the length of the radius.
A radius is a line segment joining the center of a circle to any point on the circle. Two radii end-toend form a diameter of a circle.
circumference is about three times the diameter of a circle. An approximation for circumference is
about six times the radius of a circle.
VDOE Mathematics Standards of Learning Curriculum Framework 2016: Grade 5
Essential Knowledge and Skills
The student will use problem solving, mathematical
communication, mathematical reasoning, connections, and
representations to
Identify and describe the diameter, radius, chord, and
circumference of a circle.
Investigate and describe the relationship between
diameter and radius;
diameter and chord;
radius and circumference; and
diameter and circumference.
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