Sawaal
  • Home/
  • Searching for octagon

 Searching for "octagon"

Q:

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?

A) 3(√11) – 7 B) 5(√13) – 8
C) 4(√7) – 11 D) 6(√11) – 9
 
Answer & Explanation Answer: A) 3(√11) – 7

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

Q:

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

A) 8 – 4√2 B) 16 + 8√2
C) 16√2 – √16 D) 16 – 8√2
 
Answer & Explanation Answer: C) 16√2 – √16

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

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

A) 135° B) 120°
C) 140° D) 144°
 
Answer & Explanation Answer: A) 135°

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

A) a(√2 –1) B) a(√3 –1)
C) a/√2+2 D) a/3
 
Answer & Explanation Answer: A) a(√2 –1)

Explanation:

Since we are forming a regular octagon

so AE = AL = FB = BG and so on

So AE = SB = x/√2

AE + EF + FB = side of square = a (Given)

So x/√2 + x + x/√2 = a

X = a/(√2+1) = a(√2 -1)

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

How many diagonals are there in octagon?

A) 12 B) 14
C) 20 D) 24
 
Answer & Explanation Answer: C) 20

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

What is the number of triangles that can be formed whose vertices are the vertices of an octagon but have only one side common with that of octagon?

A) 64 B) 32
C) 24 D) 16
 
Answer & Explanation Answer: B) 32

Explanation:

  

 

When the triangles are drawn in an octagon with vertices same as those of the octagon and having one side common to that of the octagon, the figure will appear as shown in (Fig. 1).

 

   

 

Now, we shall first consider the triangles having only one side AB common with octagon ABCDEFGH and having vertices common with the octagon (See Fig. 2).Such triangles are ABD, ABE, ABF and ABG i.e. 4 in number.

 

 

 

Similarly, the triangles having only one side BC common with the octagon and also having vertices common with the octagon are BCE, BCF, BCG and BCH (as shown in Fig. 3). i.e. There are 4 such triangles.

 

This way, we have 4 triangles for each side of the octagon. Thus, there are 8 x 4 = 32 such triangles.

Report Error

View Answer Report Error Discuss

Filed Under: Analytical Reasoning