Sum of the interior angles= ( 12-2 ) ×180° Since a regular decagon has twelve (12) equal sides, then we will use n=12. The Sum of a Regular Dodecagon’s Interior Angles Sum of the interior angles= ( 10-2 )×180°Īs a result, a regular decagon’s interior angles total 1440 degrees. Since a regular decagon has ten (10) equal sides, we will use n=10. Sum of interior angles of a Regular Decagon Therefore, the total interior angle of a regular octagon is 1080 degrees. Since a regular octagon has eight equal sides, we will use n=8. Sum of Interior Angles of a Regular Octagon Thus, a regular heptagon’s interior angles add up to 900 degrees. Sum of the interior angles= ( 7-2 ) ×180° Since a regular heptagon has seven equal sides, we will use n=7. Sum of Interior Angles of a Regular Heptagon Sum of the interior angles= ( 6-2 ) ×180°Ĭonsequently, a regular hexagon’s interior angles add up to 720 degrees. Sum of Interior Angles of a Regular HexagonĪ regular hexagon has six equal sides, so we will use n=6. Sum of the interior angles= ( 5-2 ) ×180°Īs a result, a regular pentagon’s internal angles add up to 540 degrees. We shall use n=5 because a regular pentagon has five equal sides. Sum of Interior Angles of a Regular Pentagon We use the following formula to find the sum of the interior angles of a regular polygon:įor example, let us get the sum of the interior angles of a regular hexagon, a regular pentagon, and a regular octagon. The illustration below shows an equilateral triangle with three sides of equal length and 60-degree interior angles. A regular triangle’s inner angles add up to 180 degrees, with each angle measuring 60 degrees. Equilateral TriangleĪn equilateral triangle has three (3) equal sides and three (3) equal interior angles. The following are some examples of regular shapes and their basic properties. What does a regular shape mean? DefinitionĪ regular shape is a two-dimensional (2D) shape whose (interior) angles and sides all have the same measurements. This article will define regular and irregular shapes, discuss how they differ and provide some examples. The students have an advantage in several learning areas because they are familiar with shapes. Students can recognize numbers and how they appear better if they strongly understand shapes. They also learn how to compare multiple shapes and organize similar ones together. Students gain the ability to recognize various shapes through the application of observational skills. Students must concentrate on the distinct qualities to learn the differences between shapes. Mathematics requires abilities in observation and categorization. How can I find the perimeter of an irregular shape?.What are some examples of irregular shapes?.What are some examples of regular shapes?.How do you know if a shape is regular or irregular?.Frequently Asked Questions on Regular and Irregular Shapes (FAQs).Difference Between Regular and Regular Shapes.Sum of the Interior Angles of Regular Shapes.
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