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OTHER POLYGONS (Hexagon, Octagon) || Quantitative Aptitude || CAT 2021 || 09 October

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Question 1

The ratio of the area of a square to the area of a regular hexagon having the same perimeter is:

Question 2

ABCDEFGH is a regular octagon inscribed in a circle with centre at O. The ratio of OAB to AOB is equal to:

Question 3

What is the measure of an interior angle of a regular decagon ?

Question 4

An equilateral triangle and a regular hexagon are inscribed in a given circle. If a and b are the lengths of their sides respectively, then which one of the following is correct?

Question 5

If the ratio of interior angle to the exterior angle of a regular polygon is 9: 2 then the number of sides of the polygon is

Question 6

If a regular polygon P has 90 diagonals. Find its exterior angle?

Question 7

In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in cm2) of the shaded region?

Question 8

Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?

Question 9

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons respectively is:

Question 10

The sum of the interior angles of a polygon is twice the sum of its exterior angles. What is the area of the circle circumscribing the polygon if the length of each side is a?
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Oct 9CAT & MBA