Regular Polygon and Its Properties

Q.

Find the measure of each interior angle of the following regular polygons.

Hexagon

Q.

If each exterior angle of a regular polygon is 45°, then it is a regular ___.

1. pentagon

2. octagon

3. decagon

4. hexagon

Q. A five sided regular polygon is called ___.

Q.

Which of the following figures are regular polygons?

1. 

2. 

3. 

4. 

Q.

If each interior angle of a regular polygon is 150°, then the polygon has ___ sides.

1. 12

2. 8

3. 6

4. 10

Q.

If a regular polygon has 12 sides, then the measure of its each interior angle is ___.

1. 100

2. 160°

3. 150°

4. 120°

Q. A five-sided polygon is known as _____.

1. a square
2. a pentagon
3. a hexagon
4. an octagon

Q.

If the sum of interior angles of a polygon is ${1620}^{\circ }$, then the polygon has ___ sides.

1. 15

2. 11

3. 12

4. 18

Q.

If each interior angle of a regular polygon measures ${140}^{\circ }$; the polygon has ___ sides.

1. 14

2. 16

3. 12

4. 13

Q.

If each interior angle of a regular polygon measure ${135}^{\circ },$ then it has __ sides.

1. 6

2. 8

3. 10

4. 12

Q. A five-sided polygon is known as _____.

1. a square
2. a pentagon
3. a hexagon
4. an octagon

Q.

If each interior angle of a regular polygon is ${135}^{\circ }$, the polygon has ___ sides.

1. 6

2. 7

3. 9

4. 8

Q.

A polygon is said to be regular, if all its

1. interior angles are equal

2. exterior angles are equal

3. All of the above.

4. sides are equal

Q. The measure of each interior angle of regular convex polygon is ${145}^{\circ }$ . What is the number of sides of the polygon has?

1. 120
2. 12
3. 100
4. 10

Q.

If each exterior angle of a regular polygon is 72°, then it is a regular ___.

1. decagon

2. octagon

3. hexagon

4. pentagon

Q.

If each exterior angleof a regular polygon is 36°, then it is a regular ___.

1. hexagon

2. decagon

3. octagon

4. pentagon

Q.

If the interior angle of a regular polygon is double the exterior angle, then the polygon has ______ sides.

1. 5

2. 6

3. 7

4. 3

Q.

If a $\lambda$ polygon has 18 sides, then $\lambda$ each interior angle measures

1. ${150}^{\circ }$

2. ${160}^{\circ }$

3. ${20}^{\circ }$

4. ${120}^{\circ }$

Q.

Which of the following figures are regular polygons?

1. 

2. 

3. 

4. 

Q.

A polygon is regular if ___.

1. all sides are equal

2. all interior angles are equal

3. all exterior angles are equal

4. all of the above

Q. The sum of the exterior angles of any regular polygon is ___.

1. 360 degrees
2. 120 degrees
3. 540 degrees
4. 180 degrees

Q. The area of a regular polygon is $75\sqrt{3}c{m}^2$. Find the length of OM.O is the center of the polygon.

1. 8 cm
2. 4 cm
3. 2 cm
4. 5 cm

Q.

The regular polygon whose exterior angle is ${40}^{\circ }$ is a:

1. Decagon

2. Octagon

3. Heptagon

4. Nonagon

Q. Find the number of sides of a regular polygon whose each exterior angle measures:
(i) 40°
(ii) 36°
(iii) 72°
(iv) 30°

Q.

If a regular polygon has n sides, then the sum of its exterior angles is _____.

1. 
2. 
3. 
4. 

Q.

If each exterior angle of a regular polygon measures ${36}^{\circ }$, then it has ___ sides.

1. 9

2. 10

3. 11

4. 12

Q.

If each interior angle of a regular polygon is 150°, then it has _____ sides.

1. 12

2. 11

3. 10

4. 9

Q. Is it possible to have a regular polygon whose each interior angle is ${145}^{\circ }$

1. No
2. Yes
3. May be
4. Cannot be determined