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GRE
GRE Quantitative Reasoning Section

Comparing Interior Angles of a Regular Octagon and Half of Rectangle's Perimeter

Medium Geometry Polygons

Consider a regular octagon, which is defined as an eight-sided polygon with all sides of equal length and each interior angle equal. The measure of each interior angle in a regular octagon can be calculated using the formula:

$$ ext{Interior Angle} = rac{(n - 2) imes 180^{ ext{o}}}{n} $$

Where $$n$$ is the number of sides. Using this formula, determine the measure of each interior angle in the octagon.

In another scenario, we can visualize a rectangle that has the same perimeter as that of the regular octagon. The dimensions of the rectangle are given as 10 cm and 18 cm. Calculate the perimeter of the rectangle.

Now compare the value of each interior angle from the regular octagon (denoted as Quantity A) with half the perimeter of the rectangle (denoted as Quantity B).

Hint

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