Home
Class 8
MATHS
(a) Is it possible to have a regular pol...

(a) Is it possible to have a regular polygon with measure of each exterior angle as `22^@` ?
b) Can it be an interior angle of a regular polygon? Why?

Text Solution

Verified by Experts

Sum of all exterior angles of regular polygon = `360^0`
(a) Given that, measure of each exterior angle = `22^0`
(no. of sides)**(measure of exterior angle) = `360^0`
(no. of sides) = `360^0/22^0`
`=16.36`
Thus, number of sides must be a whole number, hence, we cannot have a regular polygon with exterior angle `22^0`
. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNDERSTANDING QUADRILATERALS

    NCERT|Exercise EXERCISE 3.3|11 Videos
  • UNDERSTANDING QUADRILATERALS

    NCERT|Exercise EXERCISE 3.1|2 Videos
  • UNDERSTANDING QUADRILATERALS

    NCERT|Exercise EXERCISE 3.1|2 Videos
  • SQUARES AND SQUARE ROOTS

    NCERT|Exercise EXERCISE 6.1|9 Videos
  • VISUALISING SOLID SHAPES

    NCERT|Exercise EXERCISE 10.3|8 Videos

Similar Questions

Explore conceptually related problems

Is it possible to have a regular polygon each of whose exterior angles is 25^(@) ?

Is it possible to have a regular polygon each of whose exterior angles is 50^(@) ?

Knowledge Check

  • Is it possible to have a regular polygon each of whose interior angles is 100^(@) ?

    A
    No
    B
    Yes
    C
    Can not determine
    D
    None of these
  • Measure of each interior angle of a regular polygon can never be:

    A
    `150^@`
    B
    `105^@`
    C
    `108^@`
    D
    `144^@`
  • If a regular polygon has 9 sides then each exterior angl eis equal to

    A
    `36^@`
    B
    `40^@`
    C
    `140^@`
    D
    `160^@`
  • Similar Questions

    Explore conceptually related problems

    It it possible to have a regular polygon each of whose interior angles is 45^(@) ?

    In a regular polygon, are all the exterior angles equal ?

    In an n - sided regular polygon, each exterior angle is 72^(@) . Find the sum of all the interior angles of the polygon

    The measure of each interior angle of a regular polygon with 8 sides is

    What is the measure of an interior angle of a regular polygon of 8 sides?