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Question
a smaller central angle of a circle corresponds to a smaller sector of the circles area. when measuring the curved edge of a circle, we refer to the distance as the. the formula for arc length is directly related to the circles
Brief Explanations
- A central - angle in a circle defines a sector. A smaller central angle means a smaller portion of the circle's area is covered by the sector.
- The curved edge of a circle is called the circumference. It is the total length around the circle.
- The formula for arc - length $l = r\theta$ (where $r$ is the radius and $\theta$ is the central angle in radians) is directly related to the circle's radius. The larger the radius, the longer the arc for a given central angle.
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