What is the difference between circumference and perimeter?
A The circumference relates only to shapes with angles, while the perimeter relates only to circles.
B The perimeter represents one-half of the circumference is never larger than the perimeter.
C The perimeter relates to all shape, while the circumference relates only to circles.
D The circumference is never large than the perimeter.
The correct answer and explanation is:
The correct answer is C: The perimeter relates to all shapes, while the circumference relates only to circles.
The main difference between circumference and perimeter lies in the types of shapes they describe.
Circumference specifically refers to the distance around a circle. It is the term used when measuring the boundary of a circular shape. The formula for circumference is: C=2πrC = 2\pi r
where rr is the radius of the circle, and π\pi (pi) is approximately 3.14159. This formula shows that the circumference depends on the radius, which is the distance from the center of the circle to any point on its boundary.
On the other hand, perimeter is a general term used for the total distance around any polygon, such as squares, rectangles, triangles, or irregular shapes. The perimeter can be calculated by adding the lengths of all the sides of the polygon. For instance, for a rectangle, the perimeter is: P=2l+2wP = 2l + 2w
where ll is the length and ww is the width of the rectangle.
In summary, while both terms refer to the boundary length of a shape, the key difference is that circumference is a specific term for circles, and perimeter applies to all other types of shapes. The concept of perimeter applies to both regular and irregular polygons, whereas circumference is limited to circular shapes only.