Question 1: Calculate the measure of each interior angle of a regular octagon.

Answer: 135

Question 2: Find the sum of the interior angles of an octagon.

Answer: 1080

Question 3: What is the measure of each exterior angle of a regular octagon?

Answer: 45

Question 4: Construct a regular octagon with a side length of 4 cm. Use the grid for drawing.

Answer: Students draw on grid

Question 5: Calculate the perimeter of an octagon whose side length is 7 cm.

Answer: 56

Question 6: A sculpture is designed in the shape of an octagon with each interior angle measuring 140°. Is the octagon regular? Explain your reasoning.

Answer: No, because in a regular octagon each interior angle is 135°. Since 140° is different, it is irregular.

Question 7: If a street sign is shaped like a regular octagon, what is the measure of each exterior angle?

Answer: 45

Question 8: A tile in the shape of an octagon has a side length of 3 inches. What is the total length of all sides?

Answer: 24

Question 9: Calculate the area of a regular octagon with a side length of 5 cm, using the formula: Area = 2(1 + √2) * side².

Answer: 69.28

Question 10: A garden has an octagonal shape. If the distance from the center to each vertex (radius) is 6 meters, what is the approximate perimeter of the garden?

Answer: Approximately 37.9 meters

Question 11: Identify and correct the mistake: A student claims that the sum of the exterior angles of any octagon is 720°. Explain whether this is correct.

Answer: Incorrect; the sum of exterior angles of any polygon is 360°. For an octagon, each exterior angle is 45°, but total is 360°.