This question delves into the basic principles of geometry, specifically circles and their arcs. We know a regulation dartboard's outermost circle is split into 20 equal sections. Our aim is to determine the angle measure of each of these sections, which are essentially arcs of the circle....
Key Concepts
Here are the key concepts needed to solve this problem:
- Circle: A closed shape formed by all points equidistant from a central point.
- Arc: A portion of the circumference of a circle.
- Central Angle: An angle whose vertex is at the center of the circle and whose sides pass through two points on the circle, defining an arc.
- Total Angle of a Circle: A circle has a total of 360 degrees.
Solving the Problem
Since the dartboard's outermost circle is divided into 20 equal sections, each section represents a central angle. To find the measure of each central angle, we simply divide the total angle of a circle (360 degrees) by the number of sections:
360 degrees / 20 sections = 18 degrees/section
Answer
Therefore, the measure of each arc in the outermost circle of a regulation dartboard is **18 degrees**.