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What is a Sector and Central Angle?

Definition: What is a sector?

Summary

  1. You can see that the sector has two straight sides, which are two radius lines
  2. The sector also has the curved edge of the circle and touches the center of the circle
  3. The central angle an the angle with vertex at the center of the circle and sides that intersect the circle
  4. The sides of the central angle are also radii
  5. The sector is proportional to the central angle of the sector
  6. If you have a small central angle, that means the area of the sector will also be small
  7. If you have a large central angle, that means the area of the sector will also be large

Notes

    1. This central point is called the "center" of the circle
    2. The other parts of the circle relevant to this problem are:
    3. the sector, central angle, and radius
    1. You can see that the sector has two straight sides, which are two radius lines
    2. The sector also has the curved edge of the circle and touches the center of the circle
    1. The sides of the central angle are also radii
    1. The area is proportional to the central angle of the sector, meaning that the bigger the central angle, the bigger the area of the sector
    2. If you have a small central angle, that means the area of the sector will also be small
    3. If you have a large central angle, that means the area of the sector will also be large