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Prove that if chords of congruent circle...

Prove that if chords of congruent circlessubtend equal angles at their centres, then the chords are equal.

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Equal chords of a circle subtend equal angles at the centre.

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MBD-Circles-Exercise
  1. If the angles subtended by the chords of a circle at the centre of the...

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  2. Recall that two circles are congruent if they have the same radii. Pro...

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  3. Prove that if chords of congruent circlessubtend equal angles at their...

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  4. Fill in the blanks:

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  5. Find the angles formed at the centre of the circle by sides of a regul...

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  6. The angle formed by the sides of a circular regular polygon at its cen...

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  7. The angle formed by the side of a regular polygon at its centre is 45^...

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  8. The perpendicular from the centre of a circle to a chord bisects the c...

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  9. The line joining the centre of a circle to the mid-point of a chord is...

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  10. There is one and only one circle passing through three non-collinear p...

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  11. Draw different pairs of circles. How many points does each pair have i...

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  12. Suppose you are given a circle. Give a construction to find its centre...

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  13. If two circles intersect at two points, prove that their centres lie o...

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  14. The length of a chord of circle of radius 10 cm is 12 cm. Determine th...

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  15. The length of a chord of a circle is 4 cm. If its perpendicular distan...

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  16. The radius of the circle is 5 cm and distance of the chord from the ce...

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  17. Find the length of a chord which is at a distance of 24 cm from the ce...

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  18. Two points A and B are 16 cm apart. A circle with radius 17 cm is draw...

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  19. If the length of a chord of a circle at a distance of 5 cm from the ce...

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  20. A chord 6 cm long is drawn in a circle with a diameter equal to 10 cm....

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