Find the number of degrees in an interior angle, a central angle, and an exterior angle of a regular hexagon.
Check these sites.
http://www.jimloy.com/geometry/pentagon.htm
http://www.coolmath.com/reference/polygons.html
Thanks! :)
You're welcome.
To find the number of degrees in an interior angle, a central angle, and an exterior angle of a regular hexagon, we can use a formula based on the number of sides.
1. Interior angle: The formula to find the measure of an interior angle of a regular polygon is given by:
Interior angle = (n - 2) * 180 / n
where n represents the number of sides of the polygon.
For a regular hexagon, the number of sides is 6:
Interior angle = (6 - 2) * 180 / 6
= 4 * 180 / 6
= 720 / 6
= 120 degrees
Therefore, the interior angle of a regular hexagon measures 120 degrees.
2. Central angle: The central angle is formed by two radii of a circle intersecting at the center. The measure of the central angle in a regular polygon is equal to the measure of the corresponding exterior angle.
Since we already have the formula for the exterior angle (explained in the next step), we can directly use it to find the central angle.
3. Exterior angle: The formula to find the measure of an exterior angle of a regular polygon is given by:
Exterior angle = 360 / n
where n represents the number of sides of the polygon.
For a regular hexagon, the number of sides is 6:
Exterior angle = 360 / 6
= 60 degrees
Therefore, the exterior angle of a regular hexagon measures 60 degrees.
Since the central angle in a regular polygon is equal to the corresponding exterior angle, the central angle of a regular hexagon also measures 60 degrees.
In summary, the number of degrees in an interior angle of a regular hexagon is 120 degrees, the number of degrees in a central angle is 60 degrees, and the number of degrees in an exterior angle is also 60 degrees.