Long description: ex2fig1

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A diagram illustrating the relationship between an angle, a radius, and a horizontal distance in a circular sector.

Alt text: A diagram illustrating the relationship between an angle, a radius, and a horizontal distance in a circular sector.

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  • The image displays a diagram resembling a circular sector or the corner of a circle.
  • A horizontal line segment at the bottom represents a length labeled with a double-headed arrow and the variable \(\text{R}\).
  • A line segment originates from the left end of this horizontal base, extending upwards and diagonally, forming the hypotenuse of a right triangle (though the right angle is implied at the base).
  • This diagonal line is labeled with a double-headed arrow and the variable \(r\), representing the radius.
  • An angle, labeled with the Greek letter \(\theta\), is marked at the origin point, representing the angle between the horizontal base and the diagonal radius.
  • The shaded area within the diagram is a sector, bounded by the horizontal base, the diagonal radius \(r\), and the arc connecting their endpoints.

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