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28. A regular polygon has interior angles that are 5 times larger than each of its exterior angles. Calculate how many sides it has..... (4) © Corbettmaths 2023
Use the formula to find the sum of the interior angles. (n – 2) × 180°. (6 – 2) × 180° = 720°. As the hexagon is regular, all the interior angles are equal. Therefore, to find the size of the interior angle, divide the sum of the interior angles by the number of sides: 6. 720 ÷ 6 = 120°.
a.) Find the measure of each interior angle. b.) Find the measure of each exterior angle. Summary of all Formulas #1 and 2 apply to all polygons #3 and 4 apply to only regular polygons 1.) Sum of Interior Angles 2.) Sum of Exterior Angles 3.) Measure of Each Interior Angle 4.)
1 Work out the size of an exterior angle of a regular hexagon. (Total for question 3 is 2 marks) 3 Work out the size of each interior angle in a regular pentagon
formula for the size of one interior angle of an sided regular polygon. Working: There are equal angles in the sided regular polygon. The sum of the interior angles is
A regular polygon has 12 sides. Work out the size of each interior angle. Explain why the sum of the interior angles in a regular pentagon is 5400. ...............................................................................................................................
It includes definitions and formulas for calculating the sum of interior angles of n-sided polygons, the measure of interior, exterior, and central angles based on the number of sides, and formulas for calculating the apothem, side length, perimeter, and area of regular polygons given the radius.