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Equal chords of a circle subtend equal a...

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

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Fill in the Blanks: Equal arcs of a circle subtend_____ angles at the centre.

Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

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

If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. If x+y=1 is a chord of x^(2)+y^(2)=1 , then alpha is equal to

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. If the slope of a pi/3 chord of x^(2)+y^(2)=4 is 1, then its equation is

MBD-Circles-Exercise
  1. (True/ False) Sector is the region between the chord and its correspo...

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  2. (True/ False) A circle is a plane figure.

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

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  4. If the angles subtended by the chords of a circle at the centre of the...

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

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

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  7. Fill in the blanks:

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

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

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

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

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

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

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

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

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

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

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

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

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

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