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The radius of a circle is 10 cm and the ...

The radius of a circle is 10 cm and the perpendicular form the centre to a chord is 8cm. Find the length of the chord.
(ii) The radius of a circle is 10 cm. its one chord is 16 cm long. Find the perpendicular distance of this chord form the centre.
(iii) in the adjoining figure `O` is the centre of circle. the radius of circle is 17 cm . if OC=8cm, then find the length of chord AB.

(iv) In the adjoining figure, `OMbotAB`, radius `OC=5cm` and chord `AB=8cm`.Find the length of OM.

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The correct Answer is:
(i) 12 cm (ii) 6 cm (iii) 30 cm (iv) 3 cm
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NAGEEN PRAKASHAN-CIRCLE -Exercise 10a
  1. In a circle 10 cm long chord is at a distance of 12 cm form the centre...

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  2. The radius of a circle is 5cm. Find the length of its longest chord. ...

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  3. The radius of a circle is 10 cm and the perpendicular form the centre ...

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  4. (i) Find the length of a chord which is at a distance of 12 cm from th...

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  5. A chord of length 24 cm is at a distance of 5 cm form the centre of th...

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  6. In the adjoining figure, AP=8cm, BP=2cm and angle CPA=90^@. Find the l...

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  7. The height of circular arc ACB is 0.6 m. if the radius of circle is 3m...

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  8. In the adjoining figure, 'O' is the centre of the circle. OL and OM ar...

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  9. In the adjoining figure,O is the centre of two concentric circles. The...

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  10. The length of common chord of two circles is 30 cm. if the diameters o...

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  11. In the adjoining figure, chord AB= chord PQ. If angleOBA=55^@, then fi...

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  12. Show that if two chords of a circle bisect one another they must be ...

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  13. Two congruent circles intersect each other at points A and B. Through...

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  14. If the two equal chords of a circle intersect : (i) inside (ii) on...

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  15. prove that the line joining the mid-point of two equal chords of a ...

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  16. Two circles itnersect each other in two points. Prove that the line th...

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  17. Two parallel chords of a circle , 12 cm and 16 cm long are on the sam...

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  18. The diameter of a circle is 20 cm. There are two parallel chords of le...

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  19. In the adjoining figure ,AB and CD are two parallel chords of a circle...

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  20. The length of two parallel chords of a circle are 6 cm and 8 cm . The ...

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