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The number of degress, grades and radian...

The number of degress, grades and radians in an angle are respectively D,G and R. Prove that `(D)/(90)=(G)/(100)=(2R)/(pi).`

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Let D be the number of degrees , R be the number of radian and G be the number of grades of any angle of the trianlge ABC. Then the required relation among three systems of measurement of an angle is D/(90)=G/(100)=(2R)/(pi) . If angleB=100^g then which one is true ?

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CALCUTTA BOOK HOUSE-CONCEPT OF MEASUREMENT OF ANGLES -EXERCISE - 1
  1. Find the circular measure of an interior angle of a regular n-gon.

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

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  3. The sum of two angle is 152^(@). If the number of degrees in one is eq...

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  4. The sum and difference of two angles are 135^(@) "and" (pi)/(12) respe...

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  5. The number of degress, grades and radians in an angle are respectively...

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

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

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  8. The angle of a triangle are in the ratio of 4:3:5. Find the circular m...

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  9. Express 60^(@) in radian.

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  10. The four angles of a quadrilateral are in A.P. The greatest angle is ...

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  11. The angles of a pentagon are a-2b,a-b,a,a+b,a+2b and its greatest angl...

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  12. Find the time between 5 and 6 o'clock when the angle between the two h...

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  13. Find the time between 1 P.M. and 2P.M. when the angle between the han...

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  14. Express in circular mesure the angle between the two hands of a clock ...

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  15. Express 135^(@) in radian.

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  16. Find the ratio of the radii of two circles at the centres of which two...

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  17. Express in circular measure an angle of a regular polygon of sides 10....

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  18. Express 72^(@) in radian.

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  19. Determine the angle in degree which an are of length 11 cm will produc...

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  20. The length of a minute-hand of a clock is 10 cm . How much distance wi...

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