EASY
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A polygon with three sides is called like this.

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Important Questions on Basic Geometric Ideas

MEDIUM

The number of sides of two regular polygons is in the ratio 5 : 4. The difference between their interior angles is 9°. Consider the following statements:

1) One of them is a pentagon and the other is a rectangle.

2) One of them is a decagon and the other is an octagon.

3) The sum of their exterior angles is 720°.

Which of the above statements is/are correct?

EASY

Perimeter of the rectangle in the figure is 36 centimetresAC=164 centimetres. Find length of AB.

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EASY

In triangle ABC, A=B=30°, AC=4 centimetres. What is the length of BC?

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EASY

Given that the angles of a polygon are all equal and each angle is a right angle.

Statement-1: The polygon has exactly four sides.

Statement-2: The sum of the angles of a polygon having n sides is (3n-8) right angles.

Which one of the following is correct in respect of the above statements?

MEDIUM
The sum of interior angles of a regular polygon is 1260°. What is the difference between an exterior angle and an interior angle of the polygon:
MEDIUM
A closed polygon has six sides and one of its angles is 30° greater than each of the other five equal angles. What is the value of one of the equal angles?
EASY

Perimeter of the rectangle in the figure is 36 centimetresAC=164 centimetres. What is AB+BC

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MEDIUM
Let a=BC, b=CA, c=AB be the side lengths of a triangle ABC, and m be the length of the median through A. If a=8, b-c=2, m=6, then the nearest integer to b is
EASY
If each interior angle of a regular polygon is 12847°, then what is the sum of the number of its diagonals and number of its sides?
EASY
Two sides of a regular polygon with n sides, when extended, meet at an angle of 28°. What is the smallest possible value of n?
HARD
What is the diameter of a circle inscribed in regular polygon of 15 sides with side length unity?
MEDIUM
 The exterior angle of a regular polygon is 72°. What would be the sum of all its interior angles?
EASY
The area of an equilateral triangle is 493cm2. Find its side (in cm.).
EASY
What is the magnitude (in radian) of the interior angle of a regular pentagon?
MEDIUM
In a circle with centre O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If BAC=40°, then CAD is equal to:
EASY

All congruent polygon are _____.

MEDIUM

If the measure of each exterior angle of a regular polygon is 5137, then the ratio of the number of its diagonal to the number of its side is:

EASY

If the interior angle of a regularpolygon is 108°, then it is a-

1. Octagon

2. Hexagon

3. Pentagon

4. Tetragon 

MEDIUM

Examine the given figure and explain whether it is a polygon or not. (Yes/No)

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MEDIUM

Put a on the simple closed curve that is a polygon.

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