The base of the right triangle drawn in the regular octagon measures 0.7 cm. A regular octagon has a radius of 1.9 centimeters. A right triangle with a base length of 0.7 centimeters is formed by the radius and apothem. What is the perimeter of the octagon? 11.2 cm 14.1 cm 15.2 cm 20.8 cm

Question

Mathematics

Lilly Franco

14 June, 00:56

The base of the right triangle drawn in the regular octagon measures 0.7 cm. A regular octagon has a radius of 1.9 centimeters. A right triangle with a base length of 0.7 centimeters is formed by the radius and apothem. What is the perimeter of the octagon? 11.2 cm 14.1 cm 15.2 cm 20.8 cm

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Answers (2)

Know the Answer?

Lilia · Answer 1

11.2

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Elian Skinner · Answer 2

Answer: the first option is the correct answer.

Step-by-step explanation:

The perimeter of a plane figure is the distance around it. An octagon has 8 sides. The perimeter of the octagon would be

8 * length of each side

The length of the base of the right angle triangle formed is equal to half the length of each side of the octagon. Since the length of the base of the right angle triangle is 0.7 centimeters, the length if each side of the octagon would be

0.7 * 2 = 1.4 centimeters

Therefore, the perimeter of the octagon would be

1.4 * 8 = 11.2 cm