Question

Compare and contrast the following parts of a circle: chord, central angle, arc, sector, and segment. Explain how the parts relate to each other and how they are different from each other.

Answer 1

Chord, central angle, arc, sector, and segment are related to each other as they all are parts of circle only .

They all are different from each other as chord and arc are measured in units whereas sector and segment are measured in unit squares .

Central angle is measured in degree or radians

Explanation:

Chord is a line segment joining any two points of a circle .

Central angle is an angle formed by two radii at the centre of a circle .

Arc is the part of circle's circumference .

Sector is a part between two radii and the arc of circle .

Segment is a part between the chord and arc of circle .

They are related to each other as they all are parts of circle only .

They all are different from each other as chord and arc are measured in units whereas sector and segment are measured in unit squares .

Central angle is measured in degree or radians .

Answer 2

1. A chord is any line segment between two points on a circle.

2. A central angle is an angle between two radii in a circle.

3. An arc is a part of a circle's circumference between two points.

4. A sector is a region of a circle between two radii.

5. A segment is the smallest part of a circle you get when this is cut by a line.

By comparing these concepts we realize that they are related to circles. For instance, a segment comes up from cutting a circle by a line, and this line is a chord. On the other hand, whenever two lines, rays or line segments meet, they form an angle. The measure of an angle is found when y rotating one of the lines so it lies on the top of the other. So the central angle comes up from the lines between the radii of a circle. All the concepts are related to each other by the concept of circles, but they are different because they measure different things. For instance, the length of a chord can be measured in unit of length while the sector can be measured unit of area.