Understanding Arcs: Are They a Fraction of a Circle?

Discover how arcs represent fractions of circles, including their measurement and relationship with angles.

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Yes, an arc is a fraction of a circle. Specifically, it is any portion of the circumference and is measured by its angle and length. The size of the arc is proportional to the corresponding central angle in degrees or radians.

FAQs & Answers

  1. What is an arc in geometry? An arc is a portion of the circumference of a circle, defined by two endpoints and the path between them.
  2. How is the length of an arc calculated? The length of an arc is calculated using the formula: Arc Length = (θ/360) * 2πr for degrees, or Arc Length = θr for radians.
  3. Can an arc be greater than half of a circle? Yes, an arc can be greater than half of a circle, in which case it is referred to as a major arc.
  4. What is the difference between a minor and major arc? A minor arc measures less than half of a circle, while a major arc measures more than half.

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