Maths-
General
Easy

Question

A regular polygon has 9 diagonals. Find the number of sides and classify it based on the number of sides.

hintHint:

A regular polygon is a polygon with congruent sides and equal angles and are symmetrically placed about a common center

The correct answer is: 6


    • We have been given in the question information about a regular polygon that has 9 diagonals which means it is a hexagon.
    •  We have to find the number of sides and classify it based on the number of sides.
    Step 1 of 1:
    We know that the number of diagonal in n - side polygon  equals fraction numerator n left parenthesis n minus 3 right parenthesis over denominator 2 end fraction
    Here, the number of diagonals is 9
    So,

    fraction numerator n left parenthesis n minus 3 right parenthesis over denominator 2 end fraction equals 9

    n squared minus 3 n equals 18

    n squared minus 3 n minus 18 equals 0

    (n - 6) (n + 3) = 0
    n = 6
    The number of sides of the given polygon are 6
    And it is Hexagon.

    Related Questions to study

    General
    Maths-

    Find the GCF (GCD) of the given pair of monomials.
    8 a squared space straight & space 28 a to the power of 5

    Find the GCF (GCD) of the given pair of monomials.
    8 a squared space straight & space 28 a to the power of 5

    Maths-General
    General
    Maths-

    A regular polygon has 20 diagonals. Find the number of sides and classify it based on the number of sides.

    A regular polygon has 20 diagonals. Find the number of sides and classify it based on the number of sides.

    Maths-General
    General
    Maths-

    A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.

    A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.

    Maths-General
    parallel
    General
    Maths-

    Which of the following relations are functions? Give reasons.
    (i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}
    (ii) {(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}

    Note: All functions are relations but all relations are not functions.

    Which of the following relations are functions? Give reasons.
    (i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}
    (ii) {(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}

    Maths-General

    Note: All functions are relations but all relations are not functions.

    General
    Maths-

    Find the GCF (GCD) of the given pair of monomials.
    x cubed y squared straight & x to the power of 5 y

    Find the GCF (GCD) of the given pair of monomials.
    x cubed y squared straight & x to the power of 5 y

    Maths-General
    General
    Maths-

    A square has lines of symmetry

    A square has lines of symmetry

    Maths-General
    parallel
    General
    Maths-

    Let R be a relation from N-N defined by R= { (a,b) : a, b belong to N and a= b2 }.Are the following true ?
    a) (a,a) ∈R , for all a ∈N
    b) (a,b) ∈R implies (b,a) ∈R
    c) (a,b) ∈R , (b,c) ∈R implies (a,c) ∈R
    Justify your answer in each case.

    Let R be a relation from N-N defined by R= { (a,b) : a, b belong to N and a= b2 }.Are the following true ?
    a) (a,a) ∈R , for all a ∈N
    b) (a,b) ∈R implies (b,a) ∈R
    c) (a,b) ∈R , (b,c) ∈R implies (a,c) ∈R
    Justify your answer in each case.

    Maths-General
    General
    Maths-

    Fundamental Algebra:
    1. Add:
    (i) x2 – y2 – 1 ; y2 – 1 – x2 ; 1 – x2 – y2

    Fundamental Algebra:
    1. Add:
    (i) x2 – y2 – 1 ; y2 – 1 – x2 ; 1 – x2 – y2

    Maths-General
    General
    Maths-

    Draw and find the number of lines of symmetry for the given regular pentagon.

    Draw and find the number of lines of symmetry for the given regular pentagon.

    Maths-General
    parallel
    General
    Maths-

    Find the number of lines of symmetry for a regular heptagon.

    Find the number of lines of symmetry for a regular heptagon.

    Maths-General
    General
    Maths-

    If A is a relation on a set R , then which one of the following is correct ?

    If A is a relation on a set R , then which one of the following is correct ?

    Maths-General
    General
    Maths-

    Let A and B two sets such that n( AxB)= 6 . If three elements of AXB are ( 3,2)(7,5)(8,5), then

    Let A and B two sets such that n( AxB)= 6 . If three elements of AXB are ( 3,2)(7,5)(8,5), then

    Maths-General
    parallel
    General
    Maths-

    Find the number of diagonals of a 50-gon

    Find the number of diagonals of a 50-gon

    Maths-General
    General
    Maths-

    Find the GCF (GCD) of the given pair of monomials.
    10 x space straight & space 25

    Find the GCF (GCD) of the given pair of monomials.
    10 x space straight & space 25

    Maths-General
    General
    Maths-

    Find the number of diagonals of a 100-gon.

    Find the number of diagonals of a 100-gon.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.