Main Difference
The main difference between Perimeter and Circumference is that the Perimeter is a path that surrounds an area and Circumference is a linear distance around the outside of a closed curve or circular object.
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Perimeter
A perimeter is a path that surrounds a two-dimensional shape. The term may be used either for the path or its length—it can be thought of as the length of the outline of a shape. The perimeter of a circle or ellipse is called its circumference.
Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden. The perimeter of a wheel (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool’s perimeter.
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Circumference
In geometry, the circumference (from Latin circumferentia, meaning “carrying around”) of a circle is the (linear) distance around it. That is, the circumference would be the length of the circle if it were opened up and straightened out to a line segment. Since a circle is the edge (boundary) of a disk, circumference is a special case of perimeter. The perimeter is the length around any closed figure and is the term used for most figures excepting the circle and some circular-like figures such as ellipses.
Informally, “circumference” may also refer to the edge itself rather than to the length of the edge.
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Perimeter (noun)
The sum of the distance of all the lengths of the sides of an object.
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Perimeter (noun)
The length of such a boundary.
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Perimeter (noun)
The outer limits of an area. circumference
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Perimeter (noun)
A fortified strip or boundary usually protecting a military position.
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Perimeter (noun)
An instrument for determining the extent and shape of the field of vision.
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Circumference (noun)
The line that bounds a circle or other two-dimensional figure
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Circumference (noun)
The length of such a line
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Circumference (noun)
The surface of a round or spherical object
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Circumference (noun)
The length of the longest cycle of a graph
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Circumference (verb)
To include in a circular space; to bound.
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Perimeter (noun)
the continuous line forming the boundary of a closed geometrical figure
“the perimeter of a rectangle”
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Perimeter (noun)
the outermost parts or boundary of an area or object
“a perimeter fence”
“the perimeter of the garden”
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Perimeter (noun)
an area away from the basket, beyond the reach of the defensive team
“he was very patient in working the ball around the perimeter”
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Perimeter (noun)
an instrument for measuring the extent and characteristics of a person’s field of vision.
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Circumference (noun)
the enclosing boundary of a curved geometric figure, especially a circle.
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Circumference (noun)
the distance around something
“babies who have small head circumferences”
“a rope two inches in circumference”