Define circumference.
The distance around the edge of a circle.
What is the formula for circumference?
Fill in the blank: The diameter is ______ the radius.
twice
True or false: The circumference is proportional to the diameter.
TRUE
What does π represent in the circumference formula?
The ratio of the circumference to the diameter of a circle.
Calculate the circumference of a circle with radius 5.
Circumference = 10π or approximately 31.42.
Define radius.
The distance from the center of a circle to any point on its edge.
What is the relationship between circumference and area?
Both are properties of a circle but measure different aspects.
Fill in the blank: The circumference of a circle is ______ to the square of its radius.
not directly related
True or false: Doubling the radius quadruples the circumference.
FALSE
What is the diameter of a circle?
The longest distance across the circle, passing through the center.
Calculate the diameter if the circumference is 20π.
Diameter = 20.
Define circle.
A shape consisting of all points equidistant from a center point.
Fill in the blank: The circumference can be calculated using the diameter by the formula ______.
C = πd
True or false: The circumference increases with the radius.
TRUE
What is the arc length of a circle?
The distance along the curved line of the circle’s circumference.
Fill in the blank: The circumference of a circle with a radius of 1 is ______.
2π
Define sector.
A portion of a circle enclosed by two radii and an arc.
What is the relationship between arc length and circumference?
Arc length is a fraction of the total circumference.
Fill in the blank: The circumference is ______ times the diameter.
π
True or false: The circumference can be measured in units of length.
TRUE
What is the central angle in a circle?
An angle whose vertex is at the center of the circle.
Calculate the circumference if the diameter is 10.
Circumference = 10π or approximately 31.42.
Define tangent in relation to a circle.
A line that touches the circle at exactly one point.
