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The circular value of each internal angl...

The circular value of each internal angle of a regular hexagon is

A

`(pi)/(3)`

B

`(2pi)/(3)`

C

`(pi)/(6)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The number of sides of a regular hexagon is 6.
`therefore "The value of each external angle" =(360^(@))/(6)=60^(@)`
` therefore "The value of each internal angle" =180^(@)-60^(@)=120^(@)xx(pi)/180^(@)=(2pi)/(3).`
Hence the required value is `(2pi)/(3).`
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CALCUTTA BOOK HOUSE-CONCEPT OF MEASUREMENT OF ANGLES -EXERCISE - 1
  1. The circular value of each internal angle of a regular hexagon is

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  2. The length of an are which subtends 22(1^(@))/(2) "at the centre of a ...

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  3. State true or false: Two angles are in the ratio 5:3 and their differ...

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  4. The angles of a triangle are in the ratio 2:5:3. Find the circular mea...

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  5. The circumference of a circle is 176 cm, find its radius.

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  6. The angles of a quadrilateral are x^(@),60^(@),60^(@) "and" (5pi^(c))/...

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  7. The sum of two angles is 60 grades and their difference is 16^(@). Fin...

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  8. One angle of a triangle is 60^(@) and the second is (pi)/(4) radian. E...

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  9. 13214"=

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  10. (5pi^(c))/(9)=

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  11. 120^(g)=

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  12. The length of an are which subtends 22(1^(@))/(2) "at the centre of a ...

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  13. Two angles are in the ratio 5:3 and their difference is 100^(g). The g...

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  14. The mesure of an angle subtended at the centre of circle by an are to ...

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  15. The circular measure of angle theta=""

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  16. The measure of the angle subtended at the centre of a circle by a quar...

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  17. The angles of a triangle are in the ratio 2:5:3. Find the circular mea...

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  18. The circumference of a circle is 176 cm, find its radius.

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  19. The angles of a quadrilateral are x^(@),60^(@),60^(@) "and" (5pi^(c))/...

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  20. Find the circular measure of an interior angle of a regular n-gon.

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  21. Express in degrees and minutes and also in greades all the angles of a...

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