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Questions and Answers
What is the sum of the interior angles of a polygon with 10 sides?
Which type of polygon has all sides of equal length and all angles of equal measure?
What characteristic defines a concave polygon?
Which of the following formulas is used to calculate the area of a regular polygon?
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What is the minimum number of sides a polygon must have?
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Study Notes
Interior Angles of a Polygon
- The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.
- For a polygon with 10 sides, the sum is (10 - 2) × 180° = 8 × 180° = 1440°.
Regular Polygon Characteristics
- A regular polygon has all sides of equal length and all angles of equal measure, making it both equilateral and equiangular.
Concave Polygon Definition
- A concave polygon is defined by at least one interior angle that measures greater than 180°. This feature causes the shape to "cave in" towards the interior.
Area Calculation for Regular Polygons
- The area of a regular polygon can be calculated using various formulas, commonly: Area = (1/2) × Perimeter × Apothem or Area = (n × s^2) / (4 × tan(π/n)), where s is the length of a side.
Minimum Polygon Sides
- A polygon must have a minimum of three sides to be classified as such; shapes with fewer than three sides do not enclose a space.
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Description
Test your knowledge about polygons with this quiz! You will explore questions regarding the sum of interior angles, types of polygons, and formulas for calculating their area. Perfect for students learning about geometry.
