Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If n is the number of sides, then the number of diagonals of a polygon is:

Options:

\(\frac{n }{ 2}\)

\(\frac{ n}{ 3}\)

\(\frac{n(n-3) }{2 }\)

\(\frac{ n(n-3)}{3 }\) 

 

Correct Answer:

\(\frac{n(n-3) }{2 }\)

Explanation:

For a quadrilateral, n = 4

\(\frac{n(n-3) }{2 }\)

\(\frac{4(4-3)) }{2 }\) = 2

Thus, a quadrilateral has two diagonals.