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An equilateral triangle of side 9 cm ...

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

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To find the radius of the circle in which an equilateral triangle of side 9 cm is inscribed, we can follow these steps: ### Step 1: Understand the Geometry An equilateral triangle has all sides equal, and when inscribed in a circle, the center of the circle (circumcenter) is equidistant from all three vertices of the triangle. ### Step 2: Draw the Triangle and Circle Draw an equilateral triangle ABC with each side measuring 9 cm. Mark the center of the circle as O, which is also the circumcenter of the triangle. ...
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RD SHARMA-CIRCLE -All Questions
  1. Prove that two different circles cannot intersect each other at mor...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. L\ a n d\ M are mid-point of two equal chords A B\ a n d\ C D of a c...

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  16. PQ and RQ are chords of a circle equidistant from the centre. Prove t...

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  17. In the figure, two equal chords AB and CD of a circle with centre O, i...

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  18. A ,\ B ,\ C ,\ D are four consecutive points on a circle such that ...

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

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  20. In Figure, equal chords AB and CD of a circle with center O , cut at r...

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