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Find the length of a chord which is a...

Find the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 6 cm.

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To find the length of a chord that is at a distance of 4 cm from the center of a circle with a radius of 6 cm, we can follow these steps: ### Step 1: Understand the Geometry We have a circle with center O and a radius of 6 cm. The chord AB is at a perpendicular distance of 4 cm from the center O. We denote the point where the perpendicular from O meets the chord as L. ### Step 2: Set Up the Right Triangle In triangle OAL: - OA is the radius of the circle = 6 cm (hypotenuse). ...
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RD SHARMA-CIRCLE -All Questions
  1. The radius of a circle is 8cm and the length of one of its chords i...

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  2. Find the length of a chord which is at a distance of 5 cm from the ...

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  3. Find the length of a chord which is at a distance of 4 cm from the ...

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  4. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a ci...

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  5. Suppose you are given a circle. Give a construction to find its cen...

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  6. Prove that the line joining the mid-point of a chord to the centre ...

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  7. Prove that a diameter of a circle which bisects a chord of the circ...

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  8. Prove that two different circles cannot intersect each other at mor...

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  9. A line segment A B is of length 5 cm. Draw a circle of radius 4 ...

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  10. An equilateral triangle of side 9 cm is inscribed in a circle. Find...

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  11. Given an arc of a circle, complete the circle.

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  12. Draw different pairs of circles. How many points does each pair hav...

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  13. Suppose you are given a circle. Give a construction to find its cen...

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  14. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a ci...

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  15. The lengths of two parallel chords of a circle are 6 cm and 8 cm. I...

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  16. If two chords of a circle are equally inclined to the diameter thro...

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  17. In Figure, O is the center of a circle and P O bisects /APD Prove that...

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  18. Two equal chords AB and CD of a circle with center O, when produced me...

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  19. If two equal chords of a circle in intersect within the circle, prove ...

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  20. If two equal chords of a circle in intersect within the circle, prove ...

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