Dec. 1 Cyclic Quadrilaterals And Polygons
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1) The opposite angles of a cyclic quadrilateral are supplementary and an exterior angle of a cyclic quadrilateral is equal to the interior opposite angle. 2) A polygon's interior angles sum to (n-2) * 180 degrees, where n is the number of sides, and the exterior angles sum to 360 degrees. 3) For a regular polygon with n sides, each exterior angle measures 360/n degrees.
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1. The document discusses formulas for calculating the areas of regular polygons and composite shapes. It provides formulas for finding the area of a regular polygon using the apothem and perimeter, as well as formulas specific to equilateral triangles and regular hexagons.
2. Examples are given for calculating the areas of regular polygons like pentagons and octagons using the formulas.
3. Composite shapes are defined as shapes made up of simple shapes like triangles, rectangles, and circles. The area of a composite shape is found by calculating the area of each individual shape and adding or subtracting them.
6001 sum of angles polygons
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This document provides information about different types of polygons:
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This document discusses properties of regular polygons. It states that a regular polygon has all sides of equal length and all interior angles of equal size. The number of axes of symmetry equals the number of sides. The interior and exterior angles at each vertex sum to 180 degrees. Formulas are provided for calculating the sum of interior angles, the measure of each interior angle, the sum of exterior angles, and the measure of each exterior angle of a regular n-polygon.
ANIMATION REPORTING1.pptxb fxcvvbnm fxbm
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2. Key theorems discussed include the sum of interior angles of any polygon being 180(n-2) degrees and the sum of exterior angles of any polygon being 360 degrees.
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