Directions: Label the parts of the circle. Write your answers inside the box. 5. 6. 7. F 4. R 8. 3. C N 2. 9. 10. S M 1.
The Correct Answer and Explanation is:
Based on the provided image, here are the correct labels for the parts of the circle:
- — Secant Line
- — Radius
- — Radius
- — Tangent Line
- — Chord
- — Minor Arc
- — Point on the Circle
- — Sector
- — Minor Arc
- — Point on the Circle
This diagram illustrates the fundamental components and related lines of a circle. Each numbered label points to a specific geometric feature.
The line labeled 1 is a secant. A secant is a line that intersects a circle at two distinct points. Here, the line passes through points M and N on the circle’s circumference.
Labels 2 and 3 both point to a radius. A radius is a line segment that extends from the center of the circle (point C) to any point on its circumference. Line segment CN (labeled 2) and line segment AC (labeled 3) are both radii of this circle. All radii of a given circle have the same length.
The line labeled 4 is a tangent. A tangent line is a line that touches the circle at exactly one point, known as the point of tangency. This line touches the circle at point A and does not enter the circle’s interior.
Label 5 indicates a chord, which is a line segment with both endpoints lying on the circle. The segment FR connects two points on the circumference. A chord that passes through the center is called a diameter, but FR does not.
Labels 6 and 9 both point to a minor arc. An arc is a portion of the circle’s circumference. Label 6 shows the arc between points F and R, while label 9 shows the arc between R and S. Since both arcs are smaller than a semicircle, they are classified as minor arcs.
The shaded region labeled 8 is a sector. A sector is a “pie-slice” shaped area of a circle enclosed by two radii and the arc that lies between them. This sector is formed by radii CS and another radius, along with their intercepted arc.
Finally, labels 7 and 10 identify a point on the circle. They point to specific locations, R and S respectively, that lie directly on the circumference, the boundary of the circle.
