Advertisements
Advertisements
प्रश्न
The number of diagonals of an n-sided figure is `1/2(n^2 - 3n)`. Use the formula to find the number of diagonals for a 6-sided figure (hexagon).
Advertisements
उत्तर
Given, a polygon has n sides, then number of diagonals is `1/2(n^2 - 3n)`.
In hexagon, there are six sides
Therefore for calculating number of diagonals in hexagon, put n = 6 in the above formula
∴ Number of diagonals = `1/2[n^2 - 3n]`
= `1/2(6^2 - 3 xx 6)`
= `1/2(6 xx 6 - 3 xx 6)`
= `1/2(36 - 18)`
= `1/2(18)`
= 9
Hence, a hexagon has 9 diagonals.
APPEARS IN
संबंधित प्रश्न
Express the following in exponential form:
2 × 2 × a × a
Express the following number using exponential notation:
512
Find the value of: 6²
Evaluate: (4 x 3)3
Find the value of the following.
93
The value of x in the equation a13 = x3 × a10 is
Fill in the blanks with <, > or = sign.
23 ______ 32
Express the following as a product of powers of their prime factors:
9000
Express the following as a product of powers of their prime factors:
800
